| 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 |
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| 引用本文： | 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), 2002, 57(5): 1028-1034 |
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| 作者姓名： | 赵涛 汪璇 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 考虑弱记忆型经典反应扩散方程解的渐近性态, 在内部和边界非线性项超临界指数增长并满足一定的平衡条件时, 用收缩函数方法和半群理论证明全局吸引子在L2(Ω)×L2μ(R+;L2(Ω))中的存在性.
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| 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 |
| 收稿时间： | 2018-09-29 |
Asymptotic Behavior of Solutions for Classical Reaction DiffusionEquation with Nonlinear Boundary Condition and Weak Memory#br# |
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| ZHAO Tao,WANG Xuan. Asymptotic Behavior of Solutions for Classical Reaction DiffusionEquation with Nonlinear Boundary Condition and Weak Memory#br#[J]. Journal of Jilin University: Sci Ed, 2002, 57(5): 1028-1034 |
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| Authors: | ZHAO Tao WANG Xuan |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | We considered the asymptotic behavior of solutions for the classical reaction diffusion equation with weak memory. When the internal and boundary nonlinearities adhered to supercritical exponential growth and the equilibrium condition, we proved the existence of a global attractorin L2(Ω)×L2μ(R+;L2(Ω)) by using contractive function method and semigroup theory. |
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| Keywords: | classical reaction diffusion equation nonlinear boundary weak memory polynomial growth of arbitrary order |
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