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Partial Differential Equations and Mathematical Physics : In Memory of Jean Leray - Kunihiko Kajitani

Partial Differential Equations and Mathematical Physics

In Memory of Jean Leray

By: Kunihiko Kajitani (Editor), Jean Vaillant (Editor)

Hardcover

Published: 13th December 2002
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Most articles contain complete proofs and excellent bibliographies. For graduate students and mathematical physicists as well as mathematicians in analysis and PDEs. 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 subriemannian geometry. Contributors: R. Beals, Y. Choquet-Bruhat, F. Colombini, M. De Gosson, B. Gaveau, D. Gourdin, P. Greiner, Y. Hamada, K. Mizohata, T. Nishitani, T. Okaji, S. Ouchi, Y. Ohya, S. Spagnolo, J. Vaillant, C. Wagschal, S. Wakabayashi The book is suitable as a reference text for graduate students and active researchers.

Preface
Differential Forms, Cycles and Hodge Theory on Complex Analytic
Spaces On Exact Solutions of Linear PDEs
Necessary Conditions for Hyperbolic Systems
Monodromy of the Ramified Cauchy Problem
Non Linear Stability of an Expanding Universe with S^1 Isometry Group
On the Cauchy Problem for a Weakly Hyperbolic Operator: An Intermediate Case Between Effective Hyperbolicity and Levi Condition
Symplectic Path Intersections and the Leray Index
A Global Cauchy-Kowalewski Theorem in Some Gevrey Classes
Subriemannian Geometry and Subelliptic PDEs
On the Analytic Continuation of the Solution of the Cauchy Problem
Strong Gevrey Solvability for a System of Linear Partial Differential Equations
Spherically Symmetric Solutions of the Compressible Euler Equation
Hyperbolic Cauchy Problem Well Posed in the Class of Gevrey
Absence of Eigenvalues of Dirac Type Operators
The Behaviors of Singular Solutions of Partial Differential Equations in Some Class in the Complex Domain
Systemes Uniformement Diagonalisables, Dimension Reduite et Symetrie II
On Hypoellipticity of the Operator exp [-x_1^{- sigma }]D_1^2+x_1^4 D_2^2+1
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780817643096
ISBN-10: 0817643095
Series: Progress in Nonlinear Differential Equations and Their Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 243
Published: 13th December 2002
Publisher: BIRKHAUSER BOSTON INC
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.5
Weight (kg): 1.2