Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Singular solutions of the heat equation with absorption
HTML articles powered by AMS MathViewer

by S. Kamin and L. A. Peletier PDF
Proc. Amer. Math. Soc. 95 (1985), 205-210 Request permission

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].
References
  • Haïm Brézis and Avner Friedman, Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pures Appl. (9) 62 (1983), no. 1, 73–97. MR 700049
  • Haïm Brézis and Elliott H. Lieb, Long range atomic potentials in Thomas-Fermi theory, Comm. Math. Phys. 65 (1979), no. 3, 231–246. MR 530151
  • H. Brezis, L. A. Peletier, and D. Terman, A very singular solution of the heat equation with absorption, Arch. Rational Mech. Anal. 95 (1986), no. 3, 185–209. MR 853963, DOI 10.1007/BF00251357
  • Haïm Brézis and Laurent Véron, Removable singularities for some nonlinear elliptic equations, Arch. Rational Mech. Anal. 75 (1980/81), no. 1, 1–6. MR 592099, DOI 10.1007/BF00284616
    • S. Kamin and L. A. Peletier, Large time behavior of solutions of the heat equation with absorption, Ann. Scuola Norm. Sup. Pisa (to appear). O. A. Oleinik and S. N. Kruzhkov, Quasilinear second order parabolic equations with many independent variables, Russian Math. Surveys 16 (1961), 105-146.
  • Laurent Véron, Singular solutions of some nonlinear elliptic equations, Nonlinear Anal. 5 (1981), no. 3, 225–242. MR 607806, DOI 10.1016/0362-546X(81)90028-6
  • Laurent Véron, Weak and strong singularities of nonlinear elliptic equations, Nonlinear functional analysis and its applications, Part 2 (Berkeley, Calif., 1983) Proc. Sympos. Pure Math., vol. 45, Amer. Math. Soc., Providence, RI, 1986, pp. 477–495. MR 843634
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35K60
  • Retrieve articles in all journals with MSC: 35K60
Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 205-210
  • MSC: Primary 35K60
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0801324-8
  • MathSciNet review: 801324