带非局部边界条件的半线性抛物系统的一致爆破模式

Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (2): 433-440.

Uniform Blow-up Profile for a Semilinear Parabolic System with Nonlocal Boundaries

LING Zheng-Qiu¹, LU Wei-Ming², ZHOU Ze-Wen¹

1.Institute of Mathematics and Information Science, Yulin Normal University, Guangxi Yulin 537000;
2.Department of Basic Education, Henan Vocational College of Chemical Technology, Zhengzhou 450042

Received:2011-01-08 Revised:2012-02-20 Online:2012-04-25 Published:2012-04-25
Supported by:
国家自然科学基金(11071100)资助

In this paper, the authors deals with a semi-linear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. By using super- and sub-solution techniques, the global existence and finite time blow-up of solution are proved. Moveover, the uniform blow-up profiles of solutions are discussed.

Key words: Global existence, Blow-up, Uniform blow-up profile

CLC Number:

35K15

Cite this article

LING Zheng-Qiu, LU Wei-Ming, ZHOU Ze-Wen. Uniform Blow-up Profile for a Semilinear Parabolic System with Nonlocal Boundaries[J].Acta mathematica scientia,Series A, 2012, 32(2): 433-440.

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