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《Mathematics in Practice and Theory》 2013-16
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The Influence of the Sign of the Initial Value on the Solution of a Non-Linear Partial Differential Equation

WANG Ke;ZHANG Hui;ZHOU Zhen-na;School of Mathmatical Sciences,Beijing Normal University;  
Here we investigate the maximum principle of a non-linear partial differential equation.We found that the maximum principle of the equation without the Unear term always holds,with no relevance to the sign of the initial function.Meanwhile the maximum principle of the equation with the linear term is influenced by the sign of the initial function.This can be verified when the initial function is non-negative and cannot be verified when the initial function is non-positive.All these have been verified through numerical solution.
【Fund】: 中央高校基本科研业务费专项资金
【CateGory Index】: O175.29
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