In this article, we study the higher-order semilinear parabolic equation
Using the test function method, we derive the blow-up critical exponent. And then based on integral inequalities, we estimate the life span of blow-up solutions.
Submitted August 17, 2009. Published January 27, 2010.
Math Subject Classifications: 35K30, 35K65.
Key Words: Higher-order parabolic equation; critical exponent; life span; test function method.
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| Fuqin Sun |
School of Science
Tianjin University of Technology and Education
Tianjin 300222, China
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