Coupled second order evolution equations with fading memory: Optimal energy decay rate
نویسندگان
چکیده
منابع مشابه
Optimal energy decay rate for a class of weakly dissipative second-order systems with memory
In this paper we study the asymptotic behavior of a class of linear dissipative integral differential equations utt(t)+Au(t)− ∫ ∞ 0 g(s) A u(t−s)ds = 0.We show that the solution decays and the decay rate is optimal. © 2010 Elsevier Ltd. All rights reserved.
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Qian Wan and Ti-Jun Xiao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China Correspondence should be addressed to Ti-Jun Xiao, [email protected] Received 30 October 2010; Accepted 21 November 2010 Academic Editor: Toka Diagana Copyright q 2011 Q. Wan and T.-J. Xiao. This is an open access article distributed u...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2014
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.05.018