具有非局部源的p-Laplace方程解的爆破时间下界估计

Abstract

Abstract:

In this paper, we consider an initial boundary value problem for a p-Laplacian equation under Dirichlet boundary condition or Robin boundary condition in three dimensional space. We use a differential inequality technique to determine a lower bound of blow-up time for the blow-up solution. In addition, we also give a sufficient condition which implies that blow-up does not occur.

Key words: p-Laplacian equation, Dirichlet boundary condition, Robin boundary condition, Blow up, Lower bound of blow-up time

CLC Number:

O175

Baoyan Sun. Lower Bound of Blow-Up Time for a p-Laplacian Equation with Nonlocal Source[J].Acta mathematica scientia,Series A, 2018, 38(5): 911-923.

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Lower Bound of Blow-Up Time for a p-Laplacian Equation with Nonlocal Source

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