Quenching profiles for one-dimensional semilinear heat equations

Authors:
Stathis Filippas and Jong-Shenq Guo

Journal:
Quart. Appl. Math. **51** (1993), 713-729

MSC:
Primary 35B40; Secondary 35K55, 35K65

DOI:
https://doi.org/10.1090/qam/1247436

MathSciNet review:
MR1247436

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Abstract | References | Similar Articles | Additional Information

Abstract: We are interested in the local behavior, near a quenching point, of a solution of a semilinear heat equation with singular powerlike absorption. Using the method of Herrero and Velazquez, we obtain a precise description of the spatial profile of the solution in a neighborhood of a quenching point at the quenching time, under certain assumptions on the initial data.

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DOI:
https://doi.org/10.1090/qam/1247436

Article copyright:
© Copyright 1993
American Mathematical Society