摘要
本文证明了一类非线性发展方程全局解的存在性,并证明适当假设下,当非线性项满足临界指数增长条件时,方程具有紧吸引子。
In this article,we prove the existence of global solutions for a class of nonlinear evolution equations in H10（Ω）×H10（Ω）.Moreover we study the long-time behavior of the solutions.It is proved that under the natural assumptions,these equations possess the compact attractors,where the nonlinear term f satisfies a critical exponential growth condition.
出处
《数学理论与应用》
2010年第4期13-19,共7页
Mathematical Theory and Applications
基金
国家自然科学基金(No.10571178)资助
关键词
非线性发展方程
全局解
全局吸引
临界指数
Nonlinear evolution equation Global solutions Global attractor Critical exponential
