STRONG ASYMPTOTIC STABILITY FOR A BEAM EQUATION WITH WEAK DAMPING

被引：2
|
作者：
FEIREISL, E
机构：
[1] Institute of Mathematics of the Czechoslovak Academy of Sciences, 115 67 Praha
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1993年 / 123卷
关键词：
D O I：
10.1017/S0308210500025749
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Any solution to the problem u(tt) + d(x)beta(u(t)) + u(xxxx) = 0, x is-an-element-of (0, pi), t greater-than-or-equal-to 0, u = u(xx) = 0 for x = 0, pi, t greater-than-or-equal-to 0, u = u0, u(t) = u1 for t = 0, is shown to decay to zero in the strong topology of the energy space as t --> infinity. The function beta is allowed to be nonmonotone and d is a nonnegative function strictly positive on a nonvoid subset of (0, pi).
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页码：365 / 371
页数：7
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