Partial Differential Equations and Mathematical Physics

Jean Vaillant

ISBN 10: 146126572X / ISBN 13: 9781461265726

Verlag: Birkhäuser Boston, Birkhäuser Boston Okt 2012, 2012

Beschreibung

This item is printed on demand - Print on Demand Titel. Neuware -The 17 invited research articles in this volume, all written byleading experts in their respective fields, are dedicated to the greatFrench mathematician Jean Leray. A wide range of topics withsignificant new results---detailed proofs---are presented in the areasof partial differential equations, complex analysis, and mathematicalphysics.Key subjects are:\* Treated from the mathematical physics viewpoint: nonlinear stabilityof an expanding universe, the compressible Euler equation, spin groupsand the Leray--Maslov index\* Linked to the Cauchy problem: an intermediate case between effectivehyperbolicity and the Levi condition, global Cauchy--Kowalewskitheorem in some Gevrey classes, the analytic continuation of thesolution, necessary conditions for hyperbolic systems, well posednessin the Gevrey class, uniformly diagonalizable systems and reduceddimension, and monodromy of ramified Cauchy problem.Additional articles examine results on:\* Local solvability for a system of partial differential operators, \*The hypoellipticity of second order operators, \* Differential formsand Hodge theory on analytic spaces, \* Subelliptic operators and subRiemannian geometry.Contributors: V. Ancona, R. Beals, A. Bove, R. Camales, Y. ChoquetBruhat, F. Colombini, M. De Gosson, S. De Gosson, M. Di Flaviano, B.Gaveau, D. Gourdin, P. Greiner, Y. Hamada, K. Kajitani, M. Mechab, K.Mizohata, V. Moncrief, N. Nakazawa, T. Nishitani, Y. Ohya, T. OkajiS. Ouchi, S. Spagnolo, J. Vaillant, C. Wagschal, S. WakabayashiThe book is suitable as a reference text for graduate students andactive researchers.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 260 pp. Englisch. Bestandsnummer des Verkäufers 9781461265726

Bibliografische Details

Titel: Partial Differential Equations and ...

Verlag: Birkhäuser Boston, Birkhäuser Boston Okt 2012

Erscheinungsdatum: 2012

Einband: Taschenbuch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

A wide range of topics in partial differential equations, complex analysis, and mathematical physics are presented to commemorate the memory of the great French mathematician Jean Leray. The 17 research articles are written by some of the world's leading mathematicians who explore important current subjects. Most articles contain complete proofs and excellent bibliographies. For graduate students and mathematical physicists as well as mathematicians in analysis and PDEs.

Reseña del editor:

The 17 invited research articles in this volume, all written by leading experts in their respective fields, are dedicated to the great French mathematician Jean Leray. A wide range of topics with significant new results---detailed proofs---are presented in the areas of partial differential equations, complex analysis, and mathematical physics. Key subjects are: * Treated from the mathematical physics viewpoint: nonlinear stability of an expanding universe, the compressible Euler equation, spin groups and the Leray--Maslov index, * Linked to the Cauchy problem: an intermediate case between effective hyperbolicity and the Levi condition, global Cauchy--Kowalewski theorem in some Gevrey classes, the analytic continuation of the solution, necessary conditions for hyperbolic systems, well posedness in the Gevrey class, uniformly diagonalizable systems and reduced dimension, and monodromy of ramified Cauchy problem. Additional articles examine results on: * Local solvability for a system of partial differential operators, * The hypoellipticity of second order operators, * Differential forms and Hodge theory on analytic spaces, * Subelliptic operators and sub- Riemannian geometry. Contributors: V. Ancona, R. Beals, A. Bove, R. Camales, Y. Choquet- Bruhat, F. Colombini, M. De Gosson, S. De Gosson, M. Di Flaviano, B. Gaveau, D. Gourdin, P. Greiner, Y. Hamada, K. Kajitani, M. Mechab, K. Mizohata, V. Moncrief, N. Nakazawa, T. Nishitani, Y. Ohya, T. Okaji, S. Ouchi, S. Spagnolo, J. Vaillant, C. Wagschal, S. Wakabayashi The book is suitable as a reference text for graduate students and active researchers.