@unpublished{KytmanovMyslivetsTarkhanov2004, author = {Kytmanov, Aleksandr and Myslivets, Simona and Tarkhanov, Nikolai Nikolaevich}, title = {Zeta-function of a nonlinear system}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26795}, year = {2004}, abstract = {Given a system of entire functions in Cn with at most countable set of common zeros, we introduce the concept of zeta-function associated with the system. Under reasonable assumptions on the system, the zeta-function is well defined for all s ∈ Zn with sufficiently large components. Using residue theory we get an integral representation for the zeta-function which allows us to construct an analytic extension of the zeta-function to an infinite cone in Cn.}, language = {en} } @article{FigariTeta2020, author = {Figari, Rodolfo and Teta, Alessandro}, title = {Zero-range hamiltonians for three quantum particles}, series = {Lectures in pure and applied mathematics}, journal = {Lectures in pure and applied mathematics}, number = {6}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, isbn = {978-3-86956-485-2}, issn = {2199-4951}, doi = {10.25932/publishup-47218}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-472189}, pages = {175 -- 184}, year = {2020}, language = {en} } @article{Hermann2014, author = {Hermann, Andreas}, title = {Zero sets of eigenspinors for generic metrics}, series = {Communications in analysis and geometry}, volume = {22}, journal = {Communications in analysis and geometry}, number = {2}, publisher = {International Press of Boston}, address = {Somerville}, issn = {1019-8385}, pages = {177 -- 218}, year = {2014}, abstract = {Let M be a closed connected spin manifold of dimension 2 or 3 with a fixed orientation and a fixed spin structure. We prove that for a generic Riemannian metric on M the non-harmonic eigenspinors of the Dirac operator are nowhere zero. The proof is based on a transversality theorem and the unique continuation property of the Dirac operator.}, language = {en} } @article{DzhunushalievSchmidt2000, author = {Dzhunushaliev, Vladimir and Schmidt, Hans-J{\"u}rgen}, title = {Wormholes and Flux Tubes in the 7D Gravity on the Principal Bundle with SU(2) Gauge Group as the Extra Dimensions}, year = {2000}, language = {en} } @article{Schrohe1997, author = {Schrohe, Elmar}, title = {Wodzicki{\"i}s noncommutative residue and trace for operator algebras on manifolds with conical singularities}, year = {1997}, language = {en} } @misc{Schrohe1998, author = {Schrohe, Elmar}, title = {Wloka, J. T. [u.a.], Boundary value problems for eliptic systems}, year = {1998}, language = {en} } @article{YenvonSpechtLinetal.2022, author = {Yen, Ming-Hsuan and von Specht, Sebastian and Lin, Yen-Yu and Cotton, Fabrice and Ma, Kuo-Fong}, title = {Within- and between-event variabilities of strong-velocity pulses of moderate earthquakes within dense seismic arrays}, series = {Bulletin of the Seismological Society of America}, volume = {112}, journal = {Bulletin of the Seismological Society of America}, number = {1}, publisher = {Seismological Society of America}, address = {El Cerito, Calif.}, issn = {0037-1106}, doi = {10.1785/0120200376}, pages = {361 -- 380}, year = {2022}, abstract = {Ground motion with strong-velocity pulses can cause significant damage to buildings and structures at certain periods; hence, knowing the period and velocity amplitude of such pulses is critical for earthquake structural engineering. However, the physical factors relating the scaling of pulse periods with magnitude are poorly understood. In this study, we investigate moderate but damaging earthquakes (M-w 6-7) and characterize ground- motion pulses using the method of Shahi and Baker (2014) while considering the potential static-offset effects. We confirm that the within-event variability of the pulses is large. The identified pulses in this study are mostly from strike-slip-like earthquakes. We further perform simulations using the freq uency-wavenumber algorithm to investigate the causes of the variability of the pulse periods within and between events for moderate strike-slip earthquakes. We test the effect of fault dips, and the impact of the asperity locations and sizes. The simulations reveal that the asperity properties have a high impact on the pulse periods and amplitudes at nearby stations. Our results emphasize the importance of asperity characteristics, in addition to earthquake magnitudes for the occurrence and properties of pulses produced by the forward directivity effect. We finally quantify and discuss within- and between-event variabilities of pulse properties at short distances.}, language = {en} } @unpublished{BaerPfaeffle2012, author = {B{\"a}r, Christian and Pf{\"a}ffle, Frank}, title = {Wiener measures on Riemannian manifolds and the Feynman-Kac formula}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-59998}, year = {2012}, abstract = {This is an introduction to Wiener measure and the Feynman-Kac formula on general Riemannian manifolds for Riemannian geometers with little or no background in stochastics. We explain the construction of Wiener measure based on the heat kernel in full detail and we prove the Feynman-Kac formula for Schr{\"o}dinger operators with bounded potentials. We also consider normal Riemannian coverings and show that projecting and lifting of paths are inverse operations which respect the Wiener measure.}, language = {en} } @book{Schmidt1994, author = {Schmidt, Hans-J{\"u}rgen}, title = {Why do all the curvature invariants of a gravitational wave vanish?}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 03}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {7 Bl.}, year = {1994}, language = {en} } @article{Schmidt1996, author = {Schmidt, Hans-J{\"u}rgen}, title = {Why do all the curvature invariants of a gravitational wave vanish?}, year = {1996}, language = {en} } @article{Paycha2018, author = {Paycha, Sylvie}, title = {When the market wins over research and higher education}, series = {Sustainable Futures for Higher Education : the Making of Knowledge Makers}, volume = {7}, journal = {Sustainable Futures for Higher Education : the Making of Knowledge Makers}, publisher = {Springer}, address = {Cham}, isbn = {978-3-319-96035-7}, issn = {2364-6799}, doi = {10.1007/978-3-319-96035-7_2}, pages = {23 -- 28}, year = {2018}, abstract = {In this chapter, an overview of systematic eradication of basic science foci in European universities in the last two decades is given. This happens under the slogan of optimisation of the university education to the needs and demands of the society. It is pointed out that reliance on "market demands" brings with it long-term deficiencies in the maintenance of basic and advanced knowledge construction in societies necessary for long-term future technological advances. University policies that claim improvement of higher education towards more immediate efficiency may end up with the opposite effect of affecting its quality and long term expected positive impact on society.}, language = {en} } @article{LykovMalyshev2020, author = {Lykov, Alexander and Malyshev, Vadim}, title = {When bounded chaos becomes unbounded}, series = {Lectures in pure and applied mathematics}, journal = {Lectures in pure and applied mathematics}, number = {6}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, isbn = {978-3-86956-485-2}, issn = {2199-4951}, doi = {10.25932/publishup-47206}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-472060}, pages = {97 -- 106}, year = {2020}, language = {en} } @unpublished{ManicciaMughetti2001, author = {Maniccia, L. and Mughetti, M.}, title = {Weyl calculus for a class of subelliptic operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26038}, year = {2001}, abstract = {Weyl-H{\"o}rmander calculus is used to get a parametrix in OPS¹-m sub(½, ½)(Ω)for a class of subelliptic pseudodifferential operators in OPS up(m)sub(1, 0)(Ω) with real non-negative principal symbol.}, language = {en} } @book{ManicciaMughetti2001, author = {Maniccia, L. and Mughetti, M.}, title = {Weyl calculus for a class of subelliptic operators}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {15 S.}, year = {2001}, language = {en} } @unpublished{BrauerKarp2008, author = {Brauer, Uwe and Karp, Lavi}, title = {Well-posedness of Einstein-Euler systems in asymptotically flat spacetimes}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30347}, year = {2008}, abstract = {We prove a local in time existence and uniqueness theorem of classical solutions of the coupled Einstein{Euler system, and therefore establish the well posedness of this system. We use the condition that the energy density might vanish or tends to zero at infinity and that the pressure is a certain function of the energy density, conditions which are used to describe simplified stellar models. In order to achieve our goals we are enforced, by the complexity of the problem, to deal with these equations in a new type of weighted Sobolev spaces of fractional order. Beside their construction, we develop tools for PDEs and techniques for hyperbolic and elliptic equations in these spaces. The well posedness is obtained in these spaces.}, language = {en} } @article{RungrottheeraSchulze2014, author = {Rungrottheera, Wannarut and Schulze, Bert-Wolfgang}, title = {Weighted spaces on corner manifolds}, series = {Complex variables and elliptic equations}, volume = {59}, journal = {Complex variables and elliptic equations}, number = {12}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {1747-6933}, doi = {10.1080/17476933.2013.876416}, pages = {1706 -- 1738}, year = {2014}, abstract = {We study spaces on manifolds with double weights and iterated discrete and continuous asymptotics, and their relationship with corner pseudo-differential operators.}, language = {en} } @article{Boelling1998, author = {B{\"o}lling, Reinhard}, title = {Weierstraß and some members of his circle : Kovalevskaja, Fuchs, Schwarz, Schottky}, isbn = {3-7643-5943- 9}, year = {1998}, language = {en} } @article{GlebovKiselevTarkhanov2010, author = {Glebov, Sergei and Kiselev, Oleg and Tarkhanov, Nikolai Nikolaevich}, title = {Weakly nonlinear dispersive waves under parametric resonance perturbation}, issn = {0022-2526}, doi = {10.1111/j.1467-9590.2009.00460.x}, year = {2010}, abstract = {We consider a solution of the nonlinear Klein-Gordon equation perturbed by a parametric driver. The frequency of parametric perturbation varies slowly and passes through a resonant value, which leads to a solution change. We obtain a new connection formula for the asymptotic solution before and after the resonance.}, language = {en} } @article{Menne2016, author = {Menne, Ulrich}, title = {Weakly Differentiable Functions on Varifolds}, series = {Indiana University mathematics journal}, volume = {65}, journal = {Indiana University mathematics journal}, publisher = {Indiana University, Department of Mathematics}, address = {Bloomington}, issn = {0022-2518}, doi = {10.1512/iumj.2016.65.5829}, pages = {977 -- 1088}, year = {2016}, abstract = {The present paper is intended to provide the basis for the study of weakly differentiable functions on rectifiable varifolds with locally bounded first variation. The concept proposed here is defined by means of integration-by-parts identities for certain compositions with smooth functions. In this class, the idea of zero boundary values is realised using the relative perimeter of superlevel sets. Results include a variety of Sobolev Poincare-type embeddings, embeddings into spaces of continuous and sometimes Holder-continuous functions, and point wise differentiability results both of approximate and integral type as well as coarea formulae. As a prerequisite for this study, decomposition properties of such varifolds and a relative isoperimetric inequality are established. Both involve a concept of distributional boundary of a set introduced for this purpose. As applications, the finiteness of the geodesic distance associated with varifolds with suitable summability of the mean curvature and a characterisation of curvature varifolds are obtained.}, language = {en} } @article{DeneckeLeeratanavalee1999, author = {Denecke, Klaus-Dieter and Leeratanavalee, Sorasak}, title = {Weak hypersubstitutions and weakly derived algebras}, year = {1999}, language = {en} }