Surveys in Mathematics and its Applications

ISSN 1842-6298
 Volume 2 (2007), 21 - 27

NON-SIMULTANEOUS BLOW-UP FOR A SEMILINEAR PARABOLIC SYSTEM WITH NONLINEAR MEMORY

Jun Zhou

Abstract. In this note, we study the possibility of non-simultaneous blow-up for positive solutions to the following system:

Under appropriate hypotheses, we prove that u blows up while v fails to blow up if and only if q1 and p2 1-1).

2000 Mathematics Subject Classification: 35B35, 35K57, 35K55.
Keywords: Semilinear parabolic system; Nonlinear memory; Non-simultaneous blow-up.

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Jun Zhou
School of mathematics and statistics, Southwest University
Chongqing, 400715,
China.
e-mail: zhoujun_math@hotmail.com

http://www.utgjiu.ro/math/sma