@unpublished{AbedSchulze2009, author = {Abed, Jamil and Schulze, Bert-Wolfgang}, title = {Edge-degenerate families of ΨDO's on an infinite cylinder}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30365}, year = {2009}, abstract = {We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.}, language = {en} } @unpublished{AbedSchulze2008, author = {Abed, Jamil and Schulze, Bert-Wolfgang}, title = {Operators with corner-degenerate symbols}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30299}, year = {2008}, abstract = {We establish elements of a new approch to ellipticity and parametrices within operator algebras on a manifold with higher singularities, only based on some general axiomatic requirements on parameter-dependent operators in suitable scales of spaces. The idea is to model an iterative process with new generations of parameter-dependent operator theories, together with new scales of spaces that satisfy analogous requirements as the original ones, now on a corresponding higher level. The "full" calculus is voluminous; so we content ourselves here with some typical aspects such as symbols in terms of order reducing families, classes of relevant examples, and operators near the conical exit to infinity.}, language = {en} } @unpublished{AbutalebiClahsen2015, author = {Abutalebi, Jubin and Clahsen, Harald}, title = {Bilingualism, cognition, and aging}, series = {Bilingualism : language and cognition.}, volume = {18}, journal = {Bilingualism : language and cognition.}, number = {1}, publisher = {Cambridge Univ. Press}, address = {New York}, issn = {1366-7289}, doi = {10.1017/S1366728914000741}, pages = {1 -- 2}, year = {2015}, abstract = {Extract: Topics in psycholinguistics and the neurocognition of language rarely attract the attention of journalists or the general public. One topic that has done so, however, is the potential benefits of bilingualism for general cognitive functioning and development, and as a precaution against cognitive decline in old age. Sensational claims have been made in the public domain, mostly by journalists and politicians. Recently (September 4, 2014) The Guardian reported that "learning a foreign language can increase the size of your brain", and Michael Gove, the UK's previous Education Secretary, noted in an interview with The Guardian (September 30, 2011) that "learning languages makes you smarter". The present issue of BLC addresses these topics by providing a state-of-the-art overview of theoretical and experimental research on the role of bilingualism for cognition in children and adults.}, language = {en} } @unpublished{AcharyaActisAghajanietal.2013, author = {Acharya, B. S. and Actis, M. and Aghajani, T. and Agnetta, G. and Aguilar, J. and Aharonian, Felix A. and Ajello, M. and Akhperjanian, A. G. and Alcubierre, M. and Aleksic, J. and Alfaro, R. and Aliu, E. and Allafort, A. J. and Allan, D. and Allekotte, I. and Amato, E. and Anderson, J. and Ang{\"u}ner, Ekrem Oǧuzhan and Antonelli, L. A. and Antoranz, P. and Aravantinos, A. and Arlen, T. and Armstrong, T. and Arnaldi, H. and Arrabito, L. and Asano, K. and Ashton, T. and Asorey, H. G. and Awane, Y. and Baba, H. and Babic, A. and Baby, N. and Baehr, J. and Bais, A. and Baixeras, C. and Bajtlik, S. and Balbo, M. and Balis, D. and Balkowski, C. and Bamba, A. and Bandiera, R. and Barber, A. and Barbier, C. and Barcelo, M. and Barnacka, Anna and Barnstedt, J{\"u}rgen and Barres de Almeida, U. and Barrio, J. A. and Basili, A. and Basso, S. and Bastieri, D. and Bauer, C. and Baushev, Anton N. and Becerra Gonzalez, J. and Becherini, Yvonne and Bechtol, K. C. and Tjus, J. Becker and Beckmann, Volker and Bednarek, W. and Behera, B. and Belluso, M. and Benbow, W. and Berdugo, J. and Berger, K. and Bernard, F. and Bernardino, T. and Bernl{\"o}hr, K. and Bhat, N. and Bhattacharyya, S. and Bigongiari, C. and Biland, A. and Billotta, S. and Bird, T. and Birsin, E. and Bissaldi, E. and Biteau, Jonathan and Bitossi, M. and Blake, S. and Blanch Bigas, O. and Blasi, P. and Bobkov, A. A. and Boccone, V. and Boettcher, Markus and Bogacz, L. and Bogart, J. and Bogdan, M. and Boisson, Catherine and Boix Gargallo, J. and Bolmont, J. and Bonanno, G. and Bonardi, A. and Bonev, T. and Bonifacio, P. and Bonnoli, G. and Bordas, Pol and Borgland, A. W. and Borkowski, Janett and Bose, R. and Botner, O. and Bottani, A. and Bouchet, L. and Bourgeat, M. and Boutonnet, C. and Bouvier, A. and Brau-Nogue, S. and Braun, I. and Bretz, T. and Briggs, M. S. and Bringmann, T. and Brook, P. and Brun, Pierre and Brunetti, L. and Buanes, T. and Buckley, J. H. and Buehler, R. and Bugaev, V. and Bulgarelli, A. and Bulik, Tomasz and Busetto, G. and Buson, S. and Byrum, K. and Cailles, M. and Cameron, R. A. and Camprecios, J. and Canestrari, R. and Cantu, S. and Capalbi, M. and Caraveo, P. A. and Carmona, E. and Carosi, A. and Carr, John and Carton, P. H. and Casanova, Sabrina and Casiraghi, M. and Catalano, O. and Cavazzani, S. and Cazaux, S. and Cerruti, M. and Chabanne, E. and Chadwick, Paula M. and Champion, C. and Chen, Andrew and Chiang, J. and Chiappetti, L. and Chikawa, M. and Chitnis, V. R. and Chollet, F. and Chudoba, J. and Cieslar, M. and Cillis, A. N. and Cohen-Tanugi, J. and Colafrancesco, Sergio and Colin, P. and Calome, J. and Colonges, S. and Compin, M. and Conconi, P. and Conforti, V. and Connaughton, V. and Conrad, Jan and Contreras, J. L. and Coppi, P. and Corona, P. and Corti, D. and Cortina, J. and Cossio, L. and Costantini, H. and Cotter, G. and Courty, B. and Couturier, S. and Covino, S. and Crimi, G. and Criswell, S. J. and Croston, J. and Cusumano, G. and Dafonseca, M. and Dale, O. and Daniel, M. and Darling, J. and Davids, I. and Dazzi, F. and De Angelis, A. and De Caprio, V. and De Frondat, F. and de Gouveia Dal Pino, E. M. and de la Calle, I. and De La Vega, G. A. and Lopez, R. de los Reyes and De Lotto, B. and De Luca, A. and de Mello Neto, J. R. T. and de Naurois, M. and de Oliveira, Y. and de Ona Wilhelmi, E. and de Souza, V. and Decerprit, G. and Decock, G. and Deil, C. and Delagnes, E. and Deleglise, G. and Delgado, C. and Della Volpe, D. and Demange, P. and Depaola, G. and Dettlaff, A. and Di Paola, A. and Di Pierro, F. and Diaz, C. and Dick, J. and Dickherber, R. and Dickinson, H. and Diez-Blanco, V. and Digel, S. and Dimitrov, D. and Disset, G. and Djannati-Ata{\"i}, A. and Doert, M. and Dohmke, M. and Domainko, W. and Prester, Dijana Dominis and Donat, A. and Dorner, D. and Doro, M. and Dournaux, J-L. and Drake, G. and Dravins, D. and Drury, L. and Dubois, F. and Dubois, R. and Dubus, G. and Dufour, C. and Dumas, D. and Dumm, J. and Durand, D. and Dyks, J. and Dyrda, M. and Ebr, J. and Edy, E. and Egberts, Kathrin and Eger, P. and Einecke, S. and Eleftheriadis, C. and Elles, S. and Emmanoulopoulos, D. and Engelhaupt, D. and Enomoto, R. and Ernenwein, J-P and Errando, M. and Etchegoyen, A. and Evans, P. and Falcone, A. and Fantinel, D. and Farakos, K. and Farnier, C. and Fasola, G. and Favill, B. and Fede, E. and Federici, S. and Fegan, S. and Feinstein, F. and Ferenc, D. and Ferrando, P. and Fesquet, M. and Fiasson, A. and Fillin-Martino, E. and Fink, D. and Finley, C. and Finley, J. P. and Fiorini, M. and Firpo Curcoll, R. and Flores, H. and Florin, D. and Focke, W. and Foehr, C. and Fokitis, E. and Font, L. and Fontaine, G. and Fornasa, M. and Foerster, A. and Fortson, L. and Fouque, N. and Franckowiak, A. and Fransson, C. and Fraser, G. and Frei, R. and Albuquerque, I. F. M. and Fresnillo, L. and Fruck, C. and Fujita, Y. and Fukazawa, Y. and Fukui, Y. and Funk, S. and Gaebele, W. and Gabici, S. and Gabriele, R. and Gadola, A. and Galante, N. and Gall, D. and Gallant, Y. and Gamez-Garcia, J. and Garcia, B. and Garcia Lopez, R. and Gardiol, D. and Garrido, D. and Garrido, L. and Gascon, D. and Gaug, M. and Gaweda, J. and Gebremedhin, L. and Geffroy, N. and Gerard, L. and Ghedina, A. and Ghigo, M. and Giannakaki, E. and Gianotti, F. and Giarrusso, S. and Giavitto, G. and Giebels, B. and Gika, V. and Giommi, P. and Girard, N. and Giro, E. and Giuliani, A. and Glanzman, T. and Glicenstein, J. -F. and Godinovic, N. and Golev, V. and Gomez Berisso, M. and Gomez-Ortega, J. and Gonzalez, M. M. and Gonzalez, A. and Gonzalez, F. and Gonzalez Munoz, A. and Gothe, K. S. and Gougerot, M. and Graciani, R. and Grandi, P. and Granena, F. and Granot, J. and Grasseau, G. and Gredig, R. and Green, A. and Greenshaw, T. and Gregoire, T. and Grimm, O. and Grube, J. and Grudzinska, M. and Gruev, V. and Gruenewald, S. and Grygorczuk, J. and Guarino, V. and Gunji, S. and Gyuk, G. and Hadasch, D. and Hagiwara, R. and Hahn, J. and Hakansson, N. and Hallgren, A. and Hamer Heras, N. and Hara, S. and Hardcastle, M. J. and Harris, J. and Hassan, T. and Hatanaka, K. and Haubold, T. and Haupt, A. and Hayakawa, T. and Hayashida, M. and Heller, R. and Henault, F. and Henri, G. and Hermann, G. and Hermel, R. and Herrero, A. and Hidaka, N. and Hinton, J. and Hoffmann, D. and Hofmann, W. and Hofverberg, P. and Holder, J. and Horns, D. and Horville, D. and Houles, J. and Hrabovsky, M. and Hrupec, D. and Huan, H. and Huber, B. and Huet, J. -M. and Hughes, G. and Humensky, T. B. and Huovelin, J. and Ibarra, A. and Illa, J. M. and Impiombato, D. and Incorvaia, S. and Inoue, S. and Inoue, Y. and Ioka, K. and Ismailova, E. and Jablonski, C. and Jacholkowska, A. and Jamrozy, M. and Janiak, M. and Jean, P. and Jeanney, C. and Jimenez, J. J. and Jogler, T. and Johnson, T. and Journet, L. and Juffroy, C. and Jung, I. and Kaaret, P. and Kabuki, S. and Kagaya, M. and Kakuwa, J. and Kalkuhl, C. and Kankanyan, R. and Karastergiou, A. and Kaercher, K. and Karczewski, M. and Karkar, S. and Kasperek, Aci. and Kastana, D. and Katagiri, H. and Kataoka, J. and Katarzynski, K. and Katz, U. and Kawanaka, N. and Kellner-Leidel, B. and Kelly, H. and Kendziorra, E. and Khelifi, B. and Kieda, D. B. and Kifune, T. and Kihm, T. and Kishimoto, T. and Kitamoto, K. and Kluzniak, W. and Knapic, C. and Knapp, J. w and Knoedlseder, J. and Koeck, F. and Kocot, J. and Kodani, K. and Koehne, J. -H. and Kohri, K. and Kokkotas, K. and Kolitzus, D. and Komin, N. and Kominis, I. and Konno, Y. and Koeppel, H. and Korohoda, P. and Kosack, K. and Koss, G. and Kossakowski, R. and Kostka, P. and Koul, R. and Kowal, G. and Koyama, S. and Koziol, J. and Kraehenbuehl, T. and Krause, J. and Krawzcynski, H. and Krennrich, F. and Krepps, A. and Kretzschmann, A. and Krobot, R. and Krueger, P. and Kubo, H. and Kudryavtsev, V. A. and Kushida, J. and Kuznetsov, A. and La Barbera, A. and La Palombara, N. and La Parola, V. and La Rosa, G. and Lacombe, K. and Lamanna, G. and Lande, J. and Languignon, D. and Lapington, J. and Laporte, P. and Lavalley, C. and Le Flour, T. and Le Padellec, A. and Lee, S. -H. and Lee, W. H. and Leigui de Oliveira, M. A. and Lelas, D. and Lenain, J. -P. and Leopold, D. J. and Lerch, T. and Lessio, L. and Lieunard, B. and Lindfors, E. and Liolios, A. and Lipniacka, A. and Lockart, H. and Lohse, T. and Lombardi, S. and Lopatin, A. and Lopez, M. and Lopez-Coto, R. and Lopez-Oramas, A. and Lorca, A. and Lorenz, E. and Lubinski, P. and Lucarelli, F. and Luedecke, H. and Ludwin, J. and Luque-Escamilla, P. L. and Lustermann, W. and Luz, O. and Lyard, E. and Maccarone, M. C. and Maccarone, T. J. and Madejski, G. 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D. and Suric, T. and Sutcliffe, P. and Sykes, J. and Szanecki, M. and Szepieniec, T. and Szostek, A. and Tagliaferri, G. and Tajima, H. and Takahashi, H. and Takahashi, K. and Takalo, L. and Takami, H. and Talbot, C. and Tammi, J. and Tanaka, M. and Tanaka, S. and Tasan, J. and Tavani, M. and Tavernet, J. -P. and Tejedor, L. A. and Telezhinsky, Igor O. and Temnikov, P. and Tenzer, C. and Terada, Y. and Terrier, R. and Teshima, M. and Testa, V. and Tezier, D. and Thuermann, D. and Tibaldo, L. and Tibolla, O. and Tiengo, A. and Tluczykont, M. and Todero Peixoto, C. J. and Tokanai, F. and Tokarz, M. and Toma, K. and Torii, K. and Tornikoski, M. and Torres, D. F. and Torres, M. and Tosti, G. and Totani, T. and Toussenel, C. and Tovmassian, G. and Travnicek, P. and Trifoglio, M. and Troyano, I. and Tsinganos, K. and Ueno, H. and Umehara, K. and Upadhya, S. S. and Usher, T. and Uslenghi, M. and Valdes-Galicia, J. F. and Vallania, P. and Vallejo, G. and van Driel, W. and van Eldik, C. and Vandenbrouke, J. and Vanderwalt, J. and Vankov, H. and Vasileiadis, G. and Vassiliev, V. and Veberic, D. and Vegas, I. and Vercellone, S. and Vergani, S. and Veyssiere, C. and Vialle, J. P. and Viana, A. and Videla, M. and Vincent, P. and Vincent, S. and Vink, J. and Vlahakis, N. and Vlahos, L. and Vogler, P. and Vollhardt, A. and von Gunten, H. P. and Vorobiov, S. and Vuerli, C. and Waegebaert, V. and Wagner, R. and Wagner, R. G. and Wagner, S. and Wakely, S. P. and Walter, R. and Walther, T. and Warda, K. and Warwick, R. and Wawer, P. and Wawrzaszek, R. and Webb, N. and Wegner, P. and Weinstein, A. and Weitzel, Q. and Welsing, R. and Werner, M. and Wetteskind, H. and White, R. and Wierzcholska, A. and Wiesand, S. and Wilkinson, M. and Williams, D. A. and Willingale, R. and Winiarski, K. and Wischnewski, R. and Wisniewski, L. and Wood, M. and Woernlein, A. and Xiong, Q. and Yadav, K. K. and Yamamoto, H. and Yamamoto, T. and Yamazaki, R. and Yanagita, S. and Yebras, J. M. and Yelos, D. and Yoshida, A. and Yoshida, T. and Yoshikoshi, T. and Zabalza, V. and Zacharias, M. and Zajczyk, A. and Zanin, R. and Zdziarski, A. and Zech, Alraune and Zhao, A. and Zhou, X. and Zietara, K. and Ziolkowski, J. and Ziolkowski, P. and Zitelli, V. and Zurbach, C. and Zychowski, P.}, title = {Introducing the CTA concept}, series = {Astroparticle physics}, volume = {43}, journal = {Astroparticle physics}, number = {2}, publisher = {Elsevier}, address = {Amsterdam}, organization = {CTA Consortium}, issn = {0927-6505}, doi = {10.1016/j.astropartphys.2013.01.007}, pages = {3 -- 18}, year = {2013}, abstract = {The Cherenkov Telescope Array (CTA) is a new observatory for very high-energy (VHE) gamma rays. CTA has ambitions science goals, for which it is necessary to achieve full-sky coverage, to improve the sensitivity by about an order of magnitude, to span about four decades of energy, from a few tens of GeV to above 100 TeV with enhanced angular and energy resolutions over existing VHE gamma-ray observatories. An international collaboration has formed with more than 1000 members from 27 countries in Europe, Asia, Africa and North and South America. In 2010 the CTA Consortium completed a Design Study and started a three-year Preparatory Phase which leads to production readiness of CTA in 2014. In this paper we introduce the science goals and the concept of CTA, and provide an overview of the project.}, language = {en} } @unpublished{AirapetyanWitt1997, author = {Airapetyan, Ruben and Witt, Ingo}, title = {Isometric properties of the Hankel Transformation in weighted sobolev spaces}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25001}, year = {1997}, abstract = {It is shown that the Hankel transformation Hsub(v) acts in a class of weighted Sobolev spaces. Especially, the isometric mapping property of Hsub(v) which holds on L²(IRsub(+),rdr) is extended to spaces of arbitrary Sobolev order. The novelty in the approach consists in using techniques developed by B.-W. Schulze and others to treat the half-line Rsub(+) as a manifold with a conical singularity at r = 0. This is achieved by pointing out a connection between the Hankel transformation and the Mellin transformation.The procedure proposed leads at the same time to a short proof of the Hankel inversion formula. An application to the existence and higher regularity of solutions, including their asymptotics, to the 1-1-dimensional edge-degenerated wave equation is given.}, language = {en} } @unpublished{AizenbergTarkhanov1999, author = {Aizenberg, Lev A. and Tarkhanov, Nikolai Nikolaevich}, title = {A Bohr phenomenon for elliptic equations}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25547}, year = {1999}, abstract = {In 1914 Bohr proved that there is an r ∈ (0, 1) such that if a power series converges in the unit disk and its sum has modulus less than 1 then, for |z| < r, the sum of absolute values of its terms is again less than 1. Recently analogous results were obtained for functions of several variables. The aim of this paper is to comprehend the theorem of Bohr in the context of solutions to second order elliptic equations meeting the maximum principle.}, language = {en} } @unpublished{AizenbergTarkhanov2005, author = {Aizenberg, Lev A. and Tarkhanov, Nikolai Nikolaevich}, title = {Stable expansions in homogeneous polynomials}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29925}, year = {2005}, abstract = {An expansion for a class of functions is called stable if the partial sums are bounded uniformly in the class. Stable expansions are of key importance in numerical analysis where functions are given up to certain error. We show that expansions in homogeneous functions are always stable on a small ball around the origin, and evaluate the radius of the largest ball with this property.}, language = {en} } @unpublished{AizenbergTarkhanov2014, author = {Aizenberg, Lev A. and Tarkhanov, Nikolai Nikolaevich}, title = {An integral formula for the number of lattice points in a domain}, volume = {3}, number = {3}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-70453}, pages = {7}, year = {2014}, abstract = {Using the multidimensional logarithmic residue we show a simple formula for the difference between the number of integer points in a bounded domain of R^n and the volume of this domain. The difference proves to be the integral of an explicit differential form over the boundary of the domain.}, language = {en} } @unpublished{Alsaedy2016, author = {Alsaedy, Ammar}, title = {Variational primitive of a differential form}, volume = {5}, number = {4}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-89223}, pages = {8}, year = {2016}, abstract = {In this paper we specify the Dirichlet to Neumann operator related to the Cauchy problem for the gradient operator with data on a part of the boundary. To this end, we consider a nonlinear relaxation of this problem which is a mixed boundary problem of Zaremba type for the p-Laplace equation.}, language = {en} } @unpublished{AlsaedyTarkhanov2012, author = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich}, title = {The method of Fischer-Riesz equations for elliptic boundary value problems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-61792}, year = {2012}, abstract = {We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem.}, language = {en} } @unpublished{AlsaedyTarkhanov2015, author = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich}, title = {Weak boundary values of solutions of Lagrangian problems}, volume = {4}, number = {2}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-72617}, pages = {24}, year = {2015}, abstract = {We define weak boundary values of solutions to those nonlinear differential equations which appear as Euler-Lagrange equations of variational problems. As a result we initiate the theory of Lagrangian boundary value problems in spaces of appropriate smoothness. We also analyse if the concept of mapping degree of current importance applies to the study of Lagrangian problems.}, language = {en} } @unpublished{AlsaedyTarkhanov2012, author = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich}, title = {Spectral projection for the dbar-Neumann problem}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-58616}, year = {2012}, abstract = {We show that the spectral kernel function of the dbar-Neumann problem on a non-compact strongly pseudoconvex manifold is smooth up to the boundary.}, language = {en} } @unpublished{AlsaedyTarkhanov2016, author = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich}, title = {A Hilbert boundary value problem for generalised Cauchy-Riemann equations}, volume = {5}, number = {1}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-86109}, pages = {21}, year = {2016}, abstract = {We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations. The boundary value problem need not satisfy the Shapiro-Lopatinskij condition and so it fails to be Fredholm in Sobolev spaces. We show a solvability condition of the Hilbert problem, which looks like those for ill-posed problems, and construct an explicit formula for approximate solutions.}, language = {en} } @unpublished{AlsaedyTarkhanov2013, author = {Alsaedy, Ammar and Tarkhanov, Nikolai Nikolaevich}, title = {Normally solvable nonlinear boundary value problems}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-65077}, year = {2013}, abstract = {We study a boundary value problem for an overdetermined elliptic system of nonlinear first order differential equations with linear boundary operators. Such a problem is solvable for a small set of data, and so we pass to its variational formulation which consists in minimising the discrepancy. The Euler-Lagrange equations for the variational problem are far-reaching analogues of the classical Laplace equation. Within the framework of Euler-Lagrange equations we specify an operator on the boundary whose zero set consists precisely of those boundary data for which the initial problem is solvable. The construction of such operator has much in common with that of the familiar Dirichlet to Neumann operator. In the case of linear problems we establish complete results.}, language = {en} } @unpublished{AntonioukKiselevStepanenkoetal.2012, author = {Antoniouk, Alexandra Viktorivna and Kiselev, Oleg and Stepanenko, Vitaly and Tarkhanov, Nikolai Nikolaevich}, title = {Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-61987}, year = {2012}, abstract = {The Dirichlet problem for the heat equation in a bounded domain is characteristic, for there are boundary points at which the boundary touches a characteristic hyperplane t = c, c being a constant. It was I.G. Petrovskii (1934) who first found necessary and sufficient conditions on the boundary which guarantee that the solution is continuous up to the characteristic point, provided that the Dirichlet data are continuous. This paper initiated standing interest in studying general boundary value problems for parabolic equations in bounded domains. We contribute to the study by constructing a formal solution of the Dirichlet problem for the heat equation in a neighbourhood of a characteristic boundary point and showing its asymptotic character.}, language = {en} } @unpublished{Arnold2009, author = {Arnold, Holger}, title = {A linearized DPLL calculus with clause learning (2nd, revised version)}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29080}, year = {2009}, abstract = {Many formal descriptions of DPLL-based SAT algorithms either do not include all essential proof techniques applied by modern SAT solvers or are bound to particular heuristics or data structures. This makes it difficult to analyze proof-theoretic properties or the search complexity of these algorithms. In this paper we try to improve this situation by developing a nondeterministic proof calculus that models the functioning of SAT algorithms based on the DPLL calculus with clause learning. This calculus is independent of implementation details yet precise enough to enable a formal analysis of realistic DPLL-based SAT algorithms.}, language = {en} } @unpublished{AsendorpfConnerDeFruytetal.2013, author = {Asendorpf, Jens B. and Conner, Mark and De Fruyt, Filip and De Houwer, Jan and Denissen, Jaap J. A. and Fiedler, Klaus and Fiedler, Susann and Funder, David C. and Kliegl, Reinhold and Nosek, Brian A. and Perugini, Marco and Roberts, Brent W. and Schmitt, Manfred and Van Aken, Marcel A. G. and Weber, Hannelore and Wicherts, Jelte M.}, title = {Replication is more than hitting the lottery twice}, series = {European journal of personality}, volume = {27}, journal = {European journal of personality}, number = {2}, publisher = {Wiley-Blackwell}, address = {Hoboken}, issn = {0890-2070}, pages = {138 -- 144}, year = {2013}, abstract = {The main goal of our target article was to provide concrete recommendations for improving the replicability of research findings. Most of the comments focus on this point. In addition, a few comments were concerned with the distinction between replicability and generalizability and the role of theory in replication. We address all comments within the conceptual structure of the target article and hope to convince readers that replication in psychological science amounts to much more than hitting the lottery twice.}, language = {en} } @unpublished{BagderinaTarkhanov2013, author = {Bagderina, Yulia Yu. and Tarkhanov, Nikolai Nikolaevich}, title = {Differential invariants of a class of Lagrangian systems with two degrees of freedom}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-63129}, year = {2013}, abstract = {We consider systems of Euler-Lagrange equations with two degrees of freedom and with Lagrangian being quadratic in velocities. For this class of equations the generic case of the equivalence problem is solved with respect to point transformations. Using Lie's infinitesimal method we construct a basis of differential invariants and invariant differentiation operators for such systems. We describe certain types of Lagrangian systems in terms of their invariants. The results are illustrated by several examples.}, language = {en} } @unpublished{BagdonavičiusLevulieneNikulinetal.2004, author = {Bagdonavičius, Vilijandas B. and Levuliene, Ruta and Nikulin, Mikhail S. and Zdorova-Cheminade, Olga}, title = {Tests for homogeneity of survival distributions against non-location alternatives and analysis of the gastric cancer data}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51527}, year = {2004}, abstract = {The two and k-sample tests of equality of the survival distributions against the alternatives including cross-effects of survival functions, proportional and monotone hazard ratios, are given for the right censored data. The asymptotic power against approaching alternatives is investigated. The tests are applied to the well known chemio and radio therapy data of the Gastrointestinal Tumor Study Group. The P-values for both proposed tests are much smaller then in the case of other known tests. Differently from the test of Stablein and Koutrouvelis the new tests can be applied not only for singly but also to randomly censored data.}, language = {en} } @unpublished{Balazadeh2014, author = {Balazadeh, Salma}, title = {Stay-green not always stays green}, series = {Molecular plant}, volume = {7}, journal = {Molecular plant}, number = {8}, publisher = {Cell Press}, address = {Cambridge}, issn = {1674-2052}, doi = {10.1093/mp/ssu076}, pages = {1264 -- 1266}, year = {2014}, language = {en} }