Local Energy Decay for Solutions of Multi-Dimensional Isotropic Symmetric Hyperbolic Systems

Authors

Thomas C. Sideris, University of California, Santa Barbara
Becca Thomases, Courant Institute of Mathematical SciencesFollow

Document Type

Article

Publication Date

12-1-2006

Publication Title

Journal of Hyperbolic Differential Equations

Abstract

The local decay of energy is established for solutions to certain linear, multidimensional symmetric hyperbolic systems, with constraints. The key assumptions are isotropy and nondegeneracy of the associated symbols. Examples are given, including Maxwell's equations and linearized elasticity. Such estimates prove useful in treating nonlinear perturbations.

Keywords

Elasticity, Local energy decay, Maxwell, Symmetric hyperbolic systems

Volume

3

Issue

4

First Page

673

Last Page

690

DOI

10.1142/S0219891606000975

ISSN

02198916

Rights

© 2007 World Scientific Publishing Company.

Comments

Archived as published.

Recommended Citation

Sideris, Thomas C. and Thomases, Becca, "Local Energy Decay for Solutions of Multi-Dimensional Isotropic Symmetric Hyperbolic Systems" (2006). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/173