
An impulsive problem for a singular degenerate parabolic equation is studied. Sufficient conditions for the existence of a unique critical length are given. The critical length \(a^*\) is the length of the space interval such that the solution with zero initial and boundary data quenches for intervals larger than \(a^*\) but it exists globally for intervals smaller than \(a^*\).
Asymptotic behavior of solutions to PDEs, Applied Mathematics, singular degenerate parabolic equation, Degenerate parabolic equations, Analysis
Asymptotic behavior of solutions to PDEs, Applied Mathematics, singular degenerate parabolic equation, Degenerate parabolic equations, Analysis
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