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
收藏
页码：133 / 155
页数：22
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