Existence, uniqueness and exponential decay of solutions to Kirchhoff equation in R^n

We discuss the global well-posedness and uniform exponential stability for the Kirchhoff equation in $\mathbb{R}^n$ $$ u_{tt}-M\Big(\int_{\mathbb{R}^n}|\nabla u|^2dx\Big)\Delta u +\lambda u_t=0 \quad \text{in } \mathbb{R}^n\times (0,\infty). $$ The global solvability is proved when the initial...

詳細記述

書誌詳細

出版年:	Electronic Journal of Differential Equations
主要な著者:	Flavio Roberto Dias Silva, Joao Manoel Soriano Pitot, Andre Vicente
フォーマット:	論文
言語:	英語
出版事項:	Texas State University 2016-09-01
主題:	Kirchhoff equation existence and uniqueness of solution uniform stability exponential decay frictional damping viscoelastic damping
オンライン･アクセス:	http://ejde.math.txstate.edu/Volumes/2016/247/abstr.html