Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with nonlocal source

Author： Yan Li   Song Xiaojun   Mu Chunlai  

Publisher： Taylor & Francis Ltd

E-ISSN： 1563-504X|94|8|1624-1648

ISSN： 0003-6811

Source： Applicable Analysis, Vol.94, Iss.8, 2015-08, pp. : 1624-1648

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Abstract

This paper deals with the following weakly coupled degenerate and singular parabolic equations with nonlocal sourcein , where , be constants and are positive real numbers and . The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exist globally or blows up in finite time are obtained. Furthermore, under certain conditions, it is proved that the blow-up set of the blowing-up solution is any closed subset of the interval . Furthermore, we also obtain the blow-up rate under the condition .

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