Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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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: 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


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