Uniqueness results and asymptotic behavior of solutions with boundary blow-up for logistic-type porous media equations |
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| Authors: | Yujuan Chen Mingxin Wang |
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| Institution: | 1. Department of Mathematics, Nantong University, 226007, Nantong, People’s Republic of China
2. Science Research Center, Harbin Institute of Technology, 150080, Harbin, People’s Republic of China
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| Abstract: | Under the proper structure conditions on the nonlinear term f(u) and weight function b(x), the paper shows the uniqueness and asymptotic behavior near the boundary of boundary blow-up solutions to the porous media equations of logistic type ?Δu = a(x)u 1/m ? b(x)f(u) with m > 1. |
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