Asymptotic behavior of solutions to a class of semilinear parabolic equations

Boundary value problems

Xinyue Wang¹  Wei Guo²  Mingjun Zhou³ 

[1] Experimental School of the Affiliated Middle School to the Jilin University, Changchun, China;School of Mathematics and Statistics, Beihua University, Jilin, China;School of Mathematics, Jilin University, Changchun, China

关键词: convection;    reaction;    asymptotic behavior;    35K65;    35B33;   

DOI  :  10.1186/s13661-016-0578-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper concerns the asymptotic behavior of solutions to the homogeneous Neumann exterior problems of a class of semilinear parabolic equations with convection and reaction terms. The critical Fujita exponents theorems are established. It is shown that the global existence and blow-up of solutions depends on the reaction term, the convection term and the spatial dimension.

【 授权许可】

CC BY