Wave equations with memory: The minimal state approach

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:384

Article

Conti, Monica¹  Marchini, Elsa M.¹ 

[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

关键词: Hyperbolic equation with memory;    Viscoelasticity;    Minimal state;    Lyapunov functional;    Global attractor;   

DOI  :  10.1016/j.jmaa.2011.06.009

来源: Elsevier

【 摘 要 】

Recently, in M. Conti et al. (2010) [6] and M. Fabrizio et al. (2010) [12], a new theoretical scheme has been developed in order to study equations with memory, the so-called minimal state approach. The aim of this work is to provide the technical body needed to study the asymptotic behavior of semilinear integro-differential equations of hyperbolic type in the novel framework. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free