@book{Weian2002, author = {Weian, Liu}, title = {Viscosity Solutions of Fully Nonlinea Parabolic Systems}, 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 = {31 S.}, year = {2002}, language = {en} } @book{Tarkhanov2002, author = {Tarkhanov, Nikolai Nikolaevich}, title = {Anisotropic edge problems}, 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 = {43 S.}, year = {2002}, language = {en} } @book{Krainer2002, author = {Krainer, Thomas}, title = {On the Calculus of Pseudodifferential Operators with an Anisotropic Analytical Parameter}, 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 = {50 S.}, year = {2002}, language = {en} } @article{CanforaSchmidt2003, author = {Canfora, Fabrizio and Schmidt, Hans-J{\"u}rgen}, title = {Vacuum solutions which cannot be written in diagonal form}, year = {2003}, abstract = {A vacuum solution of the Einstein gravitational field equation is shown to follow from a general ansatz but fails to follow from it if the symmetric matrix in it is assumed to be in diagonal form.}, language = {en} } @article{Schmidt2003, author = {Schmidt, Hans-J{\"u}rgen}, title = {The square of the Weyl tensor can be negative}, year = {2003}, abstract = {We show that the square of the Weyl tensor can be negative by giving an example}, language = {en} } @article{DeneckeWismath2003, author = {Denecke, Klaus-Dieter and Wismath, Shelly}, title = {Valuations of Terms}, year = {2003}, abstract = {Let tau be a type of algebras. There are several commonly used measurements of the complexity of terms of type tau, including the depth or height of a term and the number of variable symbols appearing in a term. In this paper we formalize these various measurements, by defining a complexity or valuation mapping on terms. A valuation of terms is thus a mapping from the absolutely free term algebra of type tau into another algebra of the same type on which an order relation is defined. We develop the interconnections between such term valuations and the equational theory of Universal Algebra. The collection of all varieties of a given type forms a complete lattice which is very complex and difficult to study; valuations of terms offer a new method to study complete sublattices of this lattice}, language = {en} } @book{JahnkeBieligSchulzJanssenetal.2003, author = {Jahnke, Thomas and Bielig-Schulz, Gisela and Janßen, Martin and Siekmann, Angelika and Simanowsky, Ursula and Wuttke, Hans}, title = {Mathematik : Analytische Geometrie lineare Algebra ; Orientierungswissen Stochastik ; Gymnasiale Oberstufe ; NRW}, editor = {Jahnke, Thomas and Bielig-Schulz, Gisela}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-464-57217-x}, pages = {416 S.}, year = {2003}, language = {de} } @article{Ginoux2003, author = {Ginoux, Nicolas}, title = {Remarques sur le spectre de l'op{\´e}rateur de Dirac}, year = {2003}, abstract = {We describe a new family of examples of hypersurfaces in the sphere satisfying the limiting-case in C. B{\"a}r's upper bound for the smallest eigenvalue of the Dirac operator.}, language = {fr} } @article{BaerSchopka2003, author = {B{\"a}r, Christian and Schopka, Sven}, title = {The dirac determinant of spherical space forms}, year = {2003}, abstract = {The zeta-regularized determinants of the Dirac operator and of its square are computed on spherical space forms. On S^2 the determinant of Dirac operators twisted by a complex line bundle is also calculated.}, language = {en} } @article{BaerDahl2003, author = {B{\"a}r, Christian and Dahl, Matthias}, title = {Small eigenvalues of the conformal laplacian}, year = {2003}, abstract = {We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes if and only if the manifold has a metric of positive scalar curvature. We show that the invariant does not increase under surgery of codimension at least three and we give lower and upper bounds in terms of the alpha-genus.}, language = {en} }