@article{949b7f375fb54413bb46573881da2b6e,

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

abstract = "We 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.",

keywords = "Diffusion, Dirac delta function, Reaction, Singularity",

author = "Fang Li and Xiaoming Zheng",

note = "Funding Information: We thank Du Dapeng of Northeast Normal University (China) for helpful discussions. Li{\textquoteright}s work is partially supported by the Chinese NSF (No. 11101111 ). Zheng thanks Central Michigan University ORSP Early Career Investigator grant #C61373 .",

year = "2012",

month = dec,

doi = "10.1016/j.aml.2012.05.018",

language = "English",

volume = "25",

pages = "2179--2183",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

number = "12",

}