REACTION-DIFFUSION EQUATIONS WITH FRACTIONAL DIFFUSION ON NON-SMOOTH DOMAINS WITH VARIOUS BOUNDARY CONDITIONS

被引：46

作者：

Gal, Ciprian G. ^{[1
]}

Warma, Mahamadi ^{[2
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

[2] Univ Puerto Rico, Dept Math, San Juan, PR 00936 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 03期

关键词：

The fractional Laplace operator; fractional Neumann and Robin boundary conditions on open sets; global attractor; convergence to steady states; semi-linear reaction-diffusion equation; asymptotic behavior; NONLOCAL VECTOR CALCULUS; REGULARITY; THEOREMS;

D O I：

10.3934/dcds.2016.36.1279

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the long term behavior in terms of finite dimensional global attractors and (global) asymptotic stabilization to steady states, as time goes to infinity, of solutions to a non-local semilinear reaction-diffusion equation associated with the fractional Laplace operator on non-smooth domains subject to Dirichlet, fractional Neumann and Robin boundary conditions.

引用

页码：1279 / 1319

页数：41

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