Optimal conditions of non-simultaneous blow-up and uniform blow-up profiles in localized parabolic equations |
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| Authors: | Fengjie Li Bingchen Liu |
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| Affiliation: | a College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong Province, PR China
b School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning Province, PR China |
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| Abstract: | This paper deals with localized parabolic equations  ,  with homogeneous Dirichlet boundary conditions, where x0 is any fixed point in a bounded domain of RN. The optimal classification of non-simultaneous and simultaneous blow-up phenomena is proposed for all of the nonnegative exponents. Moreover, uniform blow-up profiles are obtained for all kinds of simultaneous blow-up solutions. |
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| Keywords: | primary 35K05 35K60 35B40 35B33 |
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