Space-time localization in problems with free boundaries for a nonlinear second-order equation-Reference-Cited by-同舟云学术

Space-time localization in problems with free boundaries for a nonlinear second-order equation

Published:1996-02 Issue:2 Volume:48 Page:228-238
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Mitropol’skii Yu. A.,Berezovskii A. A.,Shkhanukov M. Kh.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02372048.pdf

Reference15 articles.

1. A. A. Berezovskii, “Classical and special statements of Stephan problems,” in: Nonstationary Stephan Problems [in Russian], Preprint No. 88.49, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1988), pp. 3–20.

2. L. K. Martinson, “On the finite rate of propagation of heat perturbations in media with constant heat-conductivity factor,” Zh. Vychisl. Mat. Mat. Fiz., 16, No. 5, 1233–1241 (1976).

3. A. S. Kalashnikov, “On the character of propagation of perturbations in problems of nonlinear heat conduction with absorption,” Zh. Vychisl. Mat. Mat. Fiz., 14, No. 4, 891–905 (1974).

4. A. A. Berezovskii, “Space localization of cryogenic action on biological tissues,” in: Space Localization in Stephan Problems [in Russian], Preprint No. 87.60, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987), pp. 3–12.

5. A. Friedman, Variational Principles in Problems with Free Boundaries [Russian translation], Nauka, Moscow 1990.

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