Exponential energy decay of solutions for an integro-differential equation with strong damping

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:364

Article

Wu, Shun-Tang

关键词: Asymptotic behavior;    Decay rate;    Strong damping;    Integro-differential equation;   

DOI  :  10.1016/j.jmaa.2009.11.046

来源: Elsevier

【 摘 要 】

The initial boundary value problem for an integro-clifferential equation with strong damping in Omega x (0, infinity): u(tt) - M(parallel to del u parallel to(2)(2))Delta u + (0)integral(t)g(t-s)Delta u(s)ds - Delta u(t) = f(u) is considered, where Omega is a bounded domain with a smooth boundary partial derivative Omega. The asymptotic behavior of solutions is discussed under some conditions on g. Decay estimates of the energy function of solutions are also given, via an integral inequality introduced by Komornik (1994) [11]. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free