带有指数型非线性项的离散泊松方程和热方程

Abstract

Abstract:

This paper mainly study the relations between the solution of the discrete Poisson equation and the solution of the discrete heat equation with exponential nonlinear term by monotone iterative method and comparison principle. When the solutions of the discrete Poisson equation exist, we discuss the asymptotic stability of the solutions to the discrete heat equation with exponential nonlinear term.

Key words: Discrete Poisson equation, Discrete heat equation, Graph, Comparison principle, Blow-up

CLC Number:

O175.26

Yafeng Li,Qiao Xin,Chunlai Mu. The Discrete Possion Equation and the Heat Equation with the Exponential Nonlinear Term[J].Acta mathematica scientia,Series A, 2019, 39(4): 773-784.

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References 27

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The Discrete Possion Equation and the Heat Equation with the Exponential Nonlinear Term

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