ASYMPTOTIC BEHAVIOR FOR A DISSIPATIVE PLATE EQUATION IN RN WITH PERIODIC COEFFICIENTS

被引：0

作者：

Charao, Ruy C. ^{[1
]}

Bisognin, Eleni ^{[2
]}

Bisognin, Vanilde ^{[2
]}

Pazoto, Ademir F. ^{[3
]}

机构：

[1] Univ Fed Santa Catarina, Dept Math, BR-88040900 Florianopolis, SC, Brazil

[2] Ctr Univ Franciscano, BR-97010032 Santa Maria, RS, Brazil

[3] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, RJ, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Asymptotic behavior; homogenization; partial differential equations; media with periodic structure; second-order hyperbolic equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the asymptotic behavior of solutions of a dissipative plate equation in R-N with periodic coefficients. We use the Bloch waves decomposition and a convenient Lyapunov function to derive a complete asymptotic expansion of solutions as t -> infinity. In a first approximation, we prove that the solutions for the linear model behave as the homogenized heat kernel.

引用

页数：23

共 19 条

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