Blow-up solutions and global solutions for nonlinear parabolic problems |
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Authors: | Hailiang Zhang |
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Institution: | School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, PR China |
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Abstract: | This paper deals with the blow-up of positive solutions for a nonlinear parabolic equation subject to nonlinear boundary conditions. We obtain the conditions under which the solutions may exist globally or blow up in a finite time, by a new approach. Moreover, upper estimates of the “blow-up time”, blow-up rate and global solutions are obtained also. |
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Keywords: | 35k55 35k60 35b45 |
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