数学杂志2004,Vol.24Issue(5):479-484,6.
一类非线性发展方程弱解的长时间性态
LARGE TIME BEHAVIOR FOR THE WEAK SOLUTION OF THE NONLINEAR EVOLUTION EQUATION
摘要
Abstract
In this paper the authors study the large time behavior for the weak solution of the nonlinear evolution equation in the whole space and the half space and prove that the solution decays in L2 norm at t -n/2(1/r-1/2)and t-n/2(1/r-1/2)-1/2 ,respectively, which is the same as the solution of the heat equation.关键词
长时间性态/非线性发展方程Key words
large time behavior/nonlinear evolution equation分类
数理科学引用本文复制引用
董柏青,高永东,秦晓红,吴娥子..一类非线性发展方程弱解的长时间性态[J].数学杂志,2004,24(5):479-484,6.基金项目
Supported by Natural Science Foundation of China (10001013) (10001013)
Key Item of Xianning College(KL0316). (KL0316)