多重非线性退化的p-Laplacian抛物方程组解的爆破

Blowup of Solutions for a System of Doubly Nonlinear Degenerate Parabolic Equations with p-Laplacian

本文研究了一类多重非线性退化的p-Laplacian抛物方程组解的爆破,利用修正的Levine凸性方法,在非线性项和初始条件的适当条件下,给出了解爆破时间的下界。

This paper is concerned with a system of doubly nonlinear degenerate parabolic equations with p-Laplacian. We prove that, under suitable conditions on the nonlinearity and certain initial datum, the lower bound for the blowup time is given if blowup does occur by using a modification of Levine’s concavity method.