Semilinear limit problems for reaction-diffusion equations with variable exponents

被引：2
|
作者：
Bezerra, Flank D. M. [1 ]
Simsen, Jacson [2 ]
Simsen, Mariza S. [2 ]
机构：
[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil
[2] Univ Fed Itajuba, Inst Matemat & Computacao, BR-37500903 Itajuba, MG, Brazil
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 07期
关键词：
Reaction-diffusion equations; Parabolic problems; Variable exponents; Attractors; Upper semicontinuity; PARABOLIC PROBLEMS; ATTRACTORS; SEMIGROUPS;
D O I：
10.1016/j.jde.2018.09.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study PDE limit problems for nonlinear reaction-diffusion equations and we study the sensitivity of nonlinear PDEs with respect to initial conditions and exponent parameters. Moreover, we prove continuity of the flow and weak upper semicontinuity of a family of global attractors for reaction- diffusion equations with spatially variable exponents when the exponents go to 2 in L-infinity(Omega). (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：3906 / 3924
页数：19
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