Long-time behavior and convergence for semilinear wave equations on ℝN

被引：10

作者：

Feireisl E. ^{[1
]}

机构：

[1] Institute of Mathematics AV ČR, 115 67 Praha 1

来源：

Journal of Dynamics and Differential Equations | 1997年 / 9卷 / 1期

关键词：

Convergence; Dissipation; Wave equation;

D O I：

10.1007/BF02219055

中图分类号：

学科分类号：

摘要：

We prove that any bounded solution (u,ut) of u tt+dut-Δu+f(u) = 0, u = u(x, t), xεℝN, N≥3, converges to a fixed stationary state provided its initial energy is appropriately small. The theory of concentrated compactness is used in combination with some recent results concerning the uniqueness of the so-called ground-state solution of the corresponding stationary problem. © 1997 Plenum Publishing Corporation.

引用

页码：133 / 155

页数：22

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