Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition

Boundary value problems

Guangsheng Zhong¹  Lixin Tian² 

[1] Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, China;School of Science, Nantong University, Nantong, China

关键词: parabolic equation;    nonlocal source;    nonlocal nonlinear boundary condition;    existence;    blow-up;   

DOI  :  10.1186/1687-2770-2012-45

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article deals with the blow-up problems of the positive solutions to a nonlinear parabolic equation with nonlocal source and nonlocal boundary condition. The blow-up and global existence conditions are obtained. For some special case, we also give out the blow-up rate estimate.

【 授权许可】

CC BY