Blow-up and global solutions for nonlinear reaction-diffusion equations with nonlinear boundary condition |
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| Authors: | Fei Liang |
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| Affiliation: | Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210046, PR China Department of Mathematics, An Hui Science and Technology University, Feng Yang, Anhui 233100, PR China |
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| Abstract: | This paper deals with the blow-up of positive solutions for a nonlinear reaction-diffusion equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in finite time. Moreover, an upper bound of the blow-up time, an upper estimate of the blow-up rate, and an upper estimate of the global solutions are given. At last we give two examples to which the theorems obtained in the paper may be applied. |
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| Keywords: | Nonlinear reaction-diffusion equations Blow-up solutions Global solutions |
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