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.
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页数：16
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