Existence and asymptotic behavior of solutions to a singular parabolic equation |
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| Authors: | Xia Li Li Jingna Yao Zheng'an |
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| Affiliation: | 1. Department of Mathematics, Shenzhen University, Shenzhen 518060, China;2. Department of Mathematics, Jinan University, Guangzhou 510632, China;3. Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China |
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| Abstract: | In this paper, we study the initial-boundary value problem for a class of singular parabolic equations. Under some conditions, we obtain the existence and asymptotic behavior of solutions to the problem by parabolic regularization method and the sub-super solutions method. As a byproduct, we prove the existence of solutions to some problems with gradient terms, which blow up on the boundary. |
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| Keywords: | existence singular parabolic equation asymptotic behavior |
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