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Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values

Authors:

Yongsheng Mi Chunlai Mu and Rong Zeng

Abstract:

In this paper, we consider the positive solution of the Cauchy problem for the following doubly degenerate parabolic equation

u_t-div(\|?u\|^p ?u^m)=u^qu_t-{\rm div}(\|\nabla u\|^{p} \nabla u^m)=u^q

Keywords:
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