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Zbl 1172.35434
Chan, C.Y.
Quenching criteria for a degenerate parabolic problem due to a concentrated nonlinear source. (English)
[J] Dyn. Syst. Appl. 18, No. 1, 121-127 (2009). ISSN 1056-2176

Summary: A criterion for the quenching of the solution for a degenerate semilinear parabolic first initial-boundary value problem with a concentrated nonlinear source situated at $b$ is given. The locations of $b$ for global existence of the solution and for the quenching of the solution are given.

MSC 2000:: *35K65 Parabolic equations of degenerate type
35K60 (Nonlinear) BVP for (non)linear parabolic equations
35K57 Reaction-diffusion equations
35B35 Stability of solutions of PDE
35B05 General behavior of solutions of PDE

Keywords: one space dimension; semilinear equation; Dirac delta function; criterion for the quenching

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