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主要題名:Energy decay rates via convexity for some second-order evolution equation with memory and nonlinear time-dependent dissipation
作者姓名:Wu, Shun-Tang
貢獻者資料:通識教育中心/通識教育中心
關鍵詞:global existencesecond order evolution equationconvexitygeneral decayasymptotic behavior
論文中文摘要:The stabilization of the following abstract integro-differential equation:

u″(t)+Au(t)+∫0tg(t−s)Au(s)ds+Q(t,u′(t))=∇F(u(t)),is investigated. We establish the general decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function gg, without imposing any restrictive growth assumption on the damping at the origin and strongly weakening the usual assumption of the relaxation function gg. Our approach is based on the multiplier method and make use of some properties of the convex functions. These decay results can be applied to various concrete models. We shall study some examples to illustrate our result.
出版日期:2011-01
論文ID:11399-ge-pa-2011-01_1p
典藏單位:國立臺北科技大學
數位物件檔名:11399-ge-pa-2011-01_1p.pdf
統一資源識別號:http://dx.doi.org/10.1016/j.na.2010.09.007
備註:© 2010 Elsevier Ltd.
資料開放狀態:開放
刊物名稱:Nonlinear Analysis: Theory, Methods & Applications
期數:74(2)
論文起迄頁碼:532-543