Singular solutions of the heat equation with absorption-Reference-Cited by-同舟云学术

Singular solutions of the heat equation with absorption

Published:1985 Issue:2 Volume:95 Page:205-210
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kamin S.,Peletier L. A.

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].

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-095-02/S0002-9939-1985-0801324-8/S0002-9939-1985-0801324-8.pdf

Reference8 articles.

1. Nonlinear parabolic equations involving measures as initial conditions;Brézis, Haïm;J. Math. Pures Appl. (9),1983

2. Long range atomic potentials in Thomas-Fermi theory;Brézis, Haïm;Comm. Math. Phys.,1979

3. A very singular solution of the heat equation with absorption;Brezis, H.;Arch. Rational Mech. Anal.,1986

4. Removable singularities for some nonlinear elliptic equations;Brézis, Haïm;Arch. Rational Mech. Anal.,1980

5. S. Kamin and L. A. Peletier, Large time behavior of solutions of the heat equation with absorption, Ann. Scuola Norm. Sup. Pisa (to appear).

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