Fujita phenomenon in inhomogeneous fast diffusion system |
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Authors: | Jinge Yang Sining Zheng Chengyuan Qu |
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Institution: | 1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, People’s Republic of China
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Abstract: | This paper deals with the Fujita phenomenon for the Cauchy problem of an inhomogeneous fast diffusion system. Both the critical exponent and the second exponent are obtained. We observe that the inhomogeneous terms in the system substantially contribute to the critical exponent, in that the blow-up exponent region is obviously enlarged, with keeping the second critical exponent unchanged for small inhomogeneous sources. |
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