ASYMPTOTIC AND QUENCHING BEHAVIORS OF SEMILINEAR PARABOLIC SYSTEMS WITH SINGULAR NONLINEARITIES

被引：2
|
作者：
Wang, Qi [1 ]
Zhang, Yanyan [2 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[2] East China Normal Univ, Sch Math Sci, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年 / 21卷 / 03期
关键词：
semilinear parabolic system; singular nonlinearity; global existence; quenching; convergence rate; EQUATIONS;
D O I：
10.3934/cpaa.2021199
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a family of parabolic systems with singu-lar nonlinearities. We study the classification of global existence and quenching of solutions according to parameters and initial data. Furthermore, the rate of the convergence of the global solutions to the minimal steady state is given. Due to the lack of variational characterization of the first eigenvalue to the lin-earized elliptic problem associated with our parabolic system, some new ideas and techniques are introduced.
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页码：797 / 816
页数：20
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