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

Fang Li; Xiaoming Zheng

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

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2179–2183
Journal	Applied Mathematics Letters/Elsevier
Volume	25
State	Published - Jun 27 2012

Cite this

@article{baf0fa5b6e6b4104912966641af863b5,

title = "Singularity analysis of a reaction-diffusion equation with a solution-dependent Dirac delta source",

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.",

author = "Fang Li and Xiaoming Zheng",

year = "2012",

month = jun,

day = "27",

language = "English",

volume = "25",

pages = "2179–2183",

journal = "Applied Mathematics Letters/Elsevier",

issn = "0893-9659",

publisher = "Applied Mathematics Letters/Elsevier",

}

TY - JOUR

T1 - Singularity analysis of a reaction-diffusion equation with a solution-dependent Dirac delta source

AU - Li, Fang

AU - Zheng, Xiaoming

PY - 2012/6/27

Y1 - 2012/6/27

N2 - 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.

AB - 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.

UR - https://dx.doi.org/10.1016/j.aml.2012.05.018

M3 - Article

VL - 25

SP - 2179

EP - 2183

JO - Applied Mathematics Letters/Elsevier

JF - Applied Mathematics Letters/Elsevier

SN - 0893-9659

ER -

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

Abstract

Other files and links

Fingerprint

Cite this