吉林大学学报（理学版）2019，Vol.57Issue(5)：1028-1034,7.DOI:10.13413/j.cnki.jdxblxb.2018374
带有非线性边界条件的弱记忆型经典反应扩散方程解的渐近性
Asymptotic Behavior of Solutions for Classical Reaction‐Diffusion Equation with Nonlinear Boundary Condition and Weak Memory
摘要
Abstract
We considered the asymptotic behavior of solutions for the classical reaction‐diffusion equation with w eak memory .When the internal and boundary nonlinearities adhered to supercritical exponential grow th and the equilibrium condition , w e proved the existence of a global attractor in L2 (Ω)× L2μ( R +;L2 (Ω)) by using contractive function method and semigroup theory .关键词
经典反应扩散方程/非线性边界/弱记忆/任意阶多项式增长Key words
classical reaction‐diffusion equation / nonlinear boundary / weak memory / polynomial grow th of arbitrary order分类
数理科学引用本文复制引用
赵涛,汪璇..带有非线性边界条件的弱记忆型经典反应扩散方程解的渐近性[J].吉林大学学报（理学版）,2019,57(5):1028-1034,7.基金项目
国家自然科学基金(批准号:11761062 （）
11561064 （）
11661071)和西北师范大学创新团队基金(批准号:NWN U‐LK QN‐14‐6). （批准号:NWN U‐LK QN‐14‐6）
