Dispersion and asymptotic profiles for Kirchhoff equations
偏微分方程分析
2009-12-30 v1 泛函分析
摘要
The aim of this article is to describe asymptotic profiles for the Kirchhoff equation, and to establish time decay properties and dispersive estimates for Kirchhoff equations. For this purpose, the method of asymptotic integration is developed for the corresponding linear equations and representation formulae for their solutions are obtained. These formulae are analysed further to obtain the time decay rate of -- norms of propagators for the corresponding Cauchy problems.
引用
@article{arxiv.math/0701606,
title = {Dispersion and asymptotic profiles for Kirchhoff equations},
author = {Tokio Matsuyama and Michael Ruzhansky},
journal= {arXiv preprint arXiv:math/0701606},
year = {2009}
}