带记忆项半线性反应扩散方程的强吸引子

Mathematical Theory and Applications（2023）

Cited 0|Views0

No score

Abstract

本文讨论带衰退记忆项的非线性反应扩散方程整体强解的长时间行为.首先,利用控制收敛原理及解的正则性证明系统解半群为积空间 H10(Ω)×L2μ(R;D(A))上的压缩半群,由此得到解半群的渐近紧性;然后,证明积空间上全局吸引子A的存在性和正则性.值得注意的是非线性项f满足任意阶多项式增长条件,并且 A ? D(A)×L2μ(R;D(A)).

Translated text

Key words

Reaction diffusion equation,Control convergence principle,Contractive semigroup,Arbitrary order polynomial growth,Global attractor

AI Read Science

Must-Reading Tree

Example

Generate MRT to find the research sequence of this paper

Chat Paper

Summary is being generated by the instructions you defined