Singular solutions of the heat equation with absorption

Authors:
S. Kamin and L. A. Peletier

Journal:
Proc. Amer. Math. Soc. **95** (1985), 205-210

MSC:
Primary 35K60

MathSciNet review:
801324

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we prove that the source-type solutions converge-- when the total initial mass tends to infinity--to the very singular solution obtained in [3].

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1985-0801324-8

Keywords:
Singular solutions,
source solutions,
parabolic equations

Article copyright:
© Copyright 1985
American Mathematical Society