Uniform Blow-up Behavior for Degenerate and Singular Parab olic Equations |
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Institution: | College of Science, China University of Petroleum, Qingdao 266580, China |
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Abstract: | This paper deals with the degenerate and singular parabolic equations coupled via nonlinear nonlocal reactions, subject to zero-Dirichlet boundary conditions. After giving the existence and uniqueness of local classical nonnegative solutions, we show critical blow-up exponents for the solutions of the system. Moreover, uniform blow-up behaviors near the blow-up time are obtained for simultaneous blow-up solutions, divided into four subcases. |
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Keywords: | egenerate and singular parabolic equations critical blow-up exponents uniform blow-up behavior |
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