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Online ISSN 1552-4485; Print ISSN 0033-569X
A free boundary value problem for the heat equation
Author:
W. L. Miranker
Journal:
Quart. Appl. Math. 16 (1958), 121-130
MSC:
Primary 80.00; Secondary 35.00
DOI:
https://doi.org/10.1090/qam/94136
MathSciNet review:
94136
Full-text PDF Free Access
References | Similar Articles | Additional Information
- G. W. Evans II, A note on the existence of a solution to a problem of Stefan, Quart. Appl. Math. 9 (1951), 185–193. MR 43330, DOI https://doi.org/10.1090/S0033-569X-1951-43330-2
- G. W. Evans II, E. Isaacson, and J. K. L. MacDonald, Stefan-like problems, Quart. Appl. Math. 8 (1950), 312–319. MR 37451, DOI https://doi.org/10.1090/S0033-569X-1950-37451-5 E. Goursat, Cours d’analyse mathematique, 3, Chap. XXIX, 5th ed., Gauthier Villars, Paris, 1942
- I. I. Kolodner, Free boundary problem for the heat equation with applications to problems of change of phase. I. General method of solution, Comm. Pure Appl. Math. 9 (1956), 1–31. MR 87011, DOI https://doi.org/10.1002/cpa.3160090102
- Louis Nirenberg, A strong maximum principle for parabolic equations, Comm. Pure Appl. Math. 6 (1953), 167–177. MR 55544, DOI https://doi.org/10.1002/cpa.3160060202 L. Rubenstein, On the solution of Stefan’s problem, Izvest. Akad. Nauk, USSR, 11, 37-53 (1947)
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Article copyright:
© Copyright 1958
American Mathematical Society