A Class of Fractional Order p-Laplace Parabolic Equations with Logarithmic Nonlinear Sources and Arbitrary Initial Energy
This paper studies the initial boundary value problem for a class of fractional-order p-Laplace parabolic equations with logarithmic nonlinear sources.Under the condition of subcritical initial energy,we prove finite-time blow-up using the convexity method.For the case of critical initial energy,we obtain the existence of a global solution by studying an approximation of the original equation and establish the decay estimate of the L2 norm.Under the condition of supercritical initial energy,we provide sufficient conditions for the existence of global solutions and blow-up solutions.
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维普
