Life Span of Solutions with Large Initial Data for a Semilinear Parabolic System
Received:May 25, 2014  Revised:September 04, 2014
Key Word: semilinear parabolic system   blow-up   life span  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11171092; 11471164); the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.08KJB110005) and A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Author NameAffiliation
Sen ZHOU Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu 210023, P. R. China
College of Sciences, China Pharmaceutical University, Jiangsu 211198, P. R. China 
Zuodong YANG Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu 210023, P. R. China
College of Sciences, China Pharmaceutical University, Jiangsu 211198, P. R. China
School of Teacher Education, Nanjing Normal University, Jiangsu 210097, P. R. China 
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Abstract:
      The paper deals with heat equations coupled via exponential nonlinearities. We are interested in the life span (or blow-up time) and obtain the maximal existence time of blow-up solutions. Our proof is based on the comparison principle and Kaplan's method.
Citation:
DOI:10.3770/j.issn:2095-2651.2015.01.010
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