Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions

被引：17

作者：

Marras, Monica ^{[1
]}

Piro, Stella Vernier ^{[1
]}

机构：

[1] Univ Cagliari, Dipartimento Matemat & Informat, Vle Merello 92, I-09123 Cagliari, Italy

来源：

BOUNDARY VALUE PROBLEMS | 2017年

关键词：

blow-up; global existence; nonlinear parabolic systems; PARABOLIC EQUATIONS; GLOBAL EXISTENCE; BEHAVIOR;

D O I：

10.1186/s13661-016-0732-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion systems under various boundary conditions. Specifically, conditions on data are introduced to avoid the blow-up of the solution and, when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.

引用

页数：16

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