Huilai Li, Xinyue Wang, Yuanyuan Nie, Hong He
Abstract:
This article concerns the asymptotic behavior of solutions
to the Cauchy problem of a degenerate quasilinear parabolic equations
with a gradient term. A blow-up theorem of Fujita type is established
and the critical Fujita exponent is formulated by the spacial dimension
and the behavior of the coefficient of the gradient term at infinity.
Submitted October 27, 2015. Published December 3, 2015.
Math Subject Classifications: 35K65, 35K59, 35B33.
Key Words: Critical Fujita exponent; degenerate; quasilinear; gradient term.
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Huilai Li School of Mathematics Jilin University Changchun 130012, China email: lihuilai@jlu.edu.cn |
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Xinyue Wang Experimental School of the Affiliated Middle School Jilin University Changchun 130021, China email: xinyuewang0000@163.com |
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Yuanyuan Nie School of Mathematics Jilin University Changchun 130012, China email: nieyuanyuan@live.cn |
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Hong He School of Mathematics Jilin University Changchun 130012, China email: honghemath@163.com |
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