Open Access Research

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

Guangsheng Zhong1,2* and Lixin Tian1

Author Affiliations

1 Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China

2 School of Science, Nantong University, Nantong 226007, China

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Boundary Value Problems 2012, 2012:45 doi:10.1186/1687-2770-2012-45

Published: 18 April 2012

Abstract

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.

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