Uniform blow-up rate for diffusion equations with localized nonlinear source |
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| Authors: | Qilin Liu Yuxiang Li Hongjun Gao |
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| Institution: | aDepartment of Mathematics, Nanjing Normal University, Nanjing 210097, PR China;bDepartment of Mathematics, Southeast University, Nanjing 210096, PR China |
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| Abstract: | In this short paper, we investigate blow-up rate of solutions of reaction–diffusion equations with localized reactions. We prove that the solutions have a global blow-up and the rate of blow-up is uniform in all compact subsets of the domain. |
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| Keywords: | Localized reactions Finite time blow-up Blow-up rate |
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