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).

引用

页码：365 / 371

页数：7

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