Hyperbolic Differential Operators and Related Problems 1st Edition by Vincenzo Ancona,Jean Vaillant ISBN 0367446774 978-0367446772

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Product details:

ISBN 10: 0367446774 

ISBN 13: 978-0367446772

Author: Vincenzo Ancona, Jean Vaillant

 Presenting research from more than 30 international authorities, this reference provides a complete arsenal of tools and theorems to analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics, electromagnetics, fluid dynamics, differential geometry, and topology. Renewing thought in the field of mathematical physics, Hyperbolic Differential Operators defines the notion of pseudosymmetry for matrix symbols of order zero as well as the notion of time function. Surpassing previously published material on the topic, this text is key for researchers and mathematicians specializing in hyperbolic, Schrödinger, Einstein, and partial differential equations; complex analysis; and mathematical physics.

Table of contents:

 1. The conference in honor of Jean Vaillant
2. Hyperbolic systems with nondegenerate characteristics
3. The Cauchy problem for hyperbolic operators dominated by the time function
4. A remark on the Cauchy problem for a model hyperbolic operator
5. Gevrey well-posedness of the Cauchy problem for systems
6. Gevrey well-posedness for pseudosymmetric systems with lower order terms
7. Le rôle des fonctions spéciales dans les problèmes de Goursat pour des équations aux dérivés partielles à coefficients constants
8. Influence of the hyperbolic part on decay rates in 1-d thermoelasticity
9. Integration and singularities of solutions for nonlinear second order hyperbolic equation
10. Causal evolution for Einsteinian gravitation
11. On the Cauchy–Kowalevskaya theorem of Nagumo type for systems
12. Differential analysis on stratified spaces
13. Edge Sobolev spaces, weakly hyperbolic equations, and branching of singularities
14. Sur les ondes superficielles de l’eau et le développement de Friedrichs dans le système de coordonnées de Lagrange
15. Problème de Cauchy pour certains systèmes de Leray-Volevich du type de Schrôdinger
16. Systèmes du type de Schrôdinger à racines caractéristiques multiples
17. Smoothing effect in Gevrey classes for Schrôdinger equations
18. Semiclassical wavefunctions and Schrôdinger equation
19. Strong uniqueness in Gevrey spaces for some elliptic operators
20. A remark on nonuniqueness in the Cauchy problem for elliptic operator having non-Lipschitz coefficients
21. Sur le prolongement analytique de la solution du problème de Cauchy
22. On the projective descriptions of the space of holomorphic germs
23. Microlocal scaling and extension of distributions
24. A lower bound for atomic Hamiltonians and Brownian motion
25. Compromised arrow of time

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Vincenzo Ancona,Jean Vaillant,Hyperbolic Differential,Operators and Related Problems