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Nouaili, N. (2011) A Liouville Theorem for a Heat Equation and Applications for Quenching. Nonlinearlity, 24, 797-832.
https://doi.org/10.1088/0951-7715/24/3/005

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.