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Online ISSN 1552-4485; Print ISSN 0033-569X
On a free boundary value problem of the heat equation
Author:
Walter T. Kyner
Journal:
Quart. Appl. Math. 17 (1959), 305-310
MSC:
Primary 35.78
DOI:
https://doi.org/10.1090/qam/123843
MathSciNet review:
123843
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References | Similar Articles | Additional Information
- W. L. Miranker, A free boundary value problem for the heat equation, Quart. Appl. Math. 16 (1958), 121–130. MR 94136, DOI https://doi.org/10.1090/S0033-569X-1958-94136-6
- 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
- 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
- Jim Douglas Jr. and T. M. Gallie Jr., On the numerical integration of a parabolic differential equation subject to a moving boundary condition, Duke Math. J. 22 (1955), 557–571. MR 78755
- Assène Datzeff, Sur le problème linéaire de Stefan. II, Annuaire [Godišnik] Univ. Sofia. Fac. Sci. Livre 1. 46 (1950), 271–325 (French, with Bulgarian summary). MR 0047884
- Giorgio Sestini, Esistenza di una soluzione in problemi analoghi a quello di Stefan, Riv. Mat. Univ. Parma 3 (1952), 3–23 (Italian). MR 50783 A. Friedman, Free boundary problems for parabolic equations, University of California (Berkeley) Tech. Rept. No. 28 (Oct. 1958)
- W. T. Kyner, An existence and uniqueness theorem for a nonlinear Stefan problem., J. Math. Mech. 8 (1959), 483–498. MR 0144082, DOI https://doi.org/10.1512/iumj.1959.8.58035
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Article copyright:
© Copyright 1959
American Mathematical Society