research10.1016/j.aml.2012.05.018

Singularity analysis of a reaction–diffusion equation with a solution-dependent Dirac delta source

Abstract

AbstractWe analyze the existence and singularity of a solution to a reaction–diffusion equation, whose reaction term is represented by a Dirac delta function which depends on the solution itself. We prove that there exists a unique analytic solution with a logarithmic singularity at the origin

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This paper was published in Elsevier - Publisher Connector .

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