Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
Analysis of PDEs
2015-10-13 v2
Abstract
We consider the Cauchy problem for systems of semilinear wave equations in two space dimensions. We present a structural condition on the nonlinearity under which the energy decreases to zero as time tends to infinity if the Cauchy data are sufficiently small, smooth and compactly-supported.
Keywords
Cite
@article{arxiv.1309.6006,
title = {Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions},
author = {Soichiro Katayama and Akitaka Matsumura and Hideaki Sunagawa},
journal= {arXiv preprint arXiv:1309.6006},
year = {2015}
}
Comments
28 pages. arXiv admin note: text overlap with arXiv:1206.0066