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Chadam, J.M., Peirce, A. and Yin, H.M. (1992) The Blowup Property of Solutions to Some Diffusion Equations with Localized Nonlinear Reactions. Journal of Mathematical Analysis and Applications, 169, 313-328.
https://doi.org/10.1016/0022-247X(92)90081-N

has been cited by the following article:

• TITLE: Simultaneous Quenching for Semilinear Parabolic System with Localized Sources in a Square Domain

  AUTHORS: Wai Yuen Chan

  KEYWORDS: Simultaneous Quenching, Parabolic System, Conformal Mapping

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.7, July 19, 2019

  ABSTRACT: This paper studies quenching properties of solutions of a semilinear parabolic system with localized reaction sources in a square domain. The system has the homogeneous Dirichlet boundary condition and null initial condition. We prove that solutions quench simultaneously, and compute approximated critical values of the system using a numerical method.