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Quenching criteria for a degenerate parabolic problem due to a concentrated nonlinear source. (English) Zbl 1172.35434
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:
35K65Parabolic equations of degenerate type
35K60Nonlinear initial value problems for linear parabolic equations
35K57Reaction-diffusion equations
35B35Stability of solutions of PDE
35B05Oscillation, zeros of solutions, mean value theorems, etc. (PDE)