Rate estimates of gradient blowup for a heat equation with exponential nonlinearity |
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| Authors: | Zhengce Zhang Bei Hu |
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| Institution: | a College of Science, Xi’an Jiaotong University, Xi’an, 710049, PR China
b Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA |
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| Abstract: | We consider a one-dimensional semilinear parabolic equation  , for which the spatial derivative of solutions becomes unbounded in finite time while the solutions themselves remain bounded. We establish estimates of blowup rate upper and lower bounds. We prove that in this case the blowup rate does not match the one obtained by the rescaling method. |
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| Keywords: | 35K55 35B40 |
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