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Cauchy Problem for Quasilinear Hyperbolic Systems with Higher Order Dissipative Terms

Cauchy Problem for Quasilinear Hyperbolic Systems with Higher Order Dissipative Terms In this paper, the author studies the global existence, singularities and life span of smooth solutions of the Cauchy problem for a class of quasilinear hyperbolic systems with higher order dissipative terms and gives their applications to nonlinear wave equations with higher order dissipative terms. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Cauchy Problem for Quasilinear Hyperbolic Systems with Higher Order Dissipative Terms

Acta Mathematicae Applicatae Sinica , Volume 19 (1) – Jan 1, 2003

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Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-003-0082-6
Publisher site
See Article on Publisher Site

Abstract

In this paper, the author studies the global existence, singularities and life span of smooth solutions of the Cauchy problem for a class of quasilinear hyperbolic systems with higher order dissipative terms and gives their applications to nonlinear wave equations with higher order dissipative terms.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2003

References