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

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze the existence and singularity of 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.
Original languageEnglish
Pages (from-to)2179–2183
JournalApplied Mathematics Letters/Elsevier
Volume25
StatePublished - Jun 27 2012

Fingerprint

Dive into the research topics of 'Singularity analysis of a reaction-diffusion equation with a solution-dependent Dirac delta source'. Together they form a unique fingerprint.

Cite this