Elastic waves in exterior domains, Part II: Global existence with a null structure
Analysis of PDEs
2007-05-23 v1
Abstract
In this article, we prove that solutions to a problem in nonlinear elasticity corresponding to small initial displacements exist globally in the exterior of a nontrapping obstacle. The medium is assumed to be homogeneous, isotropic, and hyperelastic, and the nonlinearity is assumed to satisfy a null condition. The techniques contained herein would allow for more complicated geometries provided that there is a sufficient decay of local energy for the linearized problem.
Keywords
Cite
@article{arxiv.math/0605110,
title = {Elastic waves in exterior domains, Part II: Global existence with a null structure},
author = {Jason Metcalfe and Becca Thomases},
journal= {arXiv preprint arXiv:math/0605110},
year = {2007}
}