The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-up does occur. In addition, a criterion for blow-up to occur and conditions which ensure that blow-up does not occur are established.
Submitted August 21, 2013. Published September 30, 2013.
Math Subject Classifications: 35K55, 35K60.
Key Words: Blow-up; lower bound of blow-up time; parabolic problem
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| Shun-Tang Wu |
General Education Center
National Taipei University of Technology
Taipei, 106 Taiwan
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