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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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: 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: http://dx.doi.org/10.1090/S0002-9939-1985-0801324-8
PII: S 0002-9939(1985)0801324-8
Keywords: Singular solutions, source solutions, parabolic equations
Article copyright: © Copyright 1985 American Mathematical Society