The profile near quenching time for the solution of a singular semilinear heat equation
Jong‐Shenq Guo, Bei Hu · Proceedings of the Edinburgh Mathematical Society · 1997
We study the profile near quenching time for the solutions of the first and second initial boundary value problems (IBVP) for a semilinear heat equation. Under certain conditions, one-point quenching occurs for both first and second IBVPs. Furthermore, we derive the asymptotic self-similar quenching rate for both problems.