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Kawarada, H. (1975) On Solutions of Initial-Boundary Value Problem for u_t=u_xx+1/(1-u). Publications of the Research Institute for Mathematical Sciences, 10, 729-736.
https://doi.org/10.2977/prims/1195191889

has been cited by the following article:

• TITLE: Quenching Phenomena Due to a Concentrated Nonlinear Source in an Infinitely Long Cylinder

  AUTHORS: Patcharin Tragoonsirisak Marion

  KEYWORDS: Quenching, Concentrated Nonlinear Source, Infinitely Long Cylinder

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.9, September 10, 2019

  ABSTRACT: This article studies a semilinear parabolic first initial-boundary value problem with a concentrated nonlinear source in an infinitely long cylinder. We study the effects of the strength of the source on quenching. Criteria for global existence of the solution and for quenching are investigated.