Overview

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.

Full Product Details

Author:   Vincenzo Ancona ,  Jean Vaillant
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.710kg
ISBN:  

9780367446772

ISBN 10:   0367446774
Pages:   386
Publication Date:   02 December 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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 superficieles de l'eau et le dévelopement 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 raciness 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

Reviews

Author Information

Ancona, Vincenzo; Vaillant, Jean

Tab Content 6

Author Website:  

Countries Available

All regions