References
N. Zabaras and K. Yuan, Numer. Heat Transfer B 26, 97–104 (1994).
D. Slota, Numer. Heat Transfer A 59, 755–768 (2011).
B. T. Johansson, D. Lesnic, and T. Reeve, Appl. Math. Model. 35, 4367–4378 (2011).
N. Gol’dman, Inverse Stefan Problems (Kluwer Academic, Dordrecht, 1997).
N. L. Gol’dman, Inverse Stefan Problems: Theory and Solution Methods (Mosk. Gos. Univ., Moscow, 1999) [in Russian].
N. L. Gol’dman, Dokl. Math. 64, 253–257 (2001).
N. L. Gol’dman, Vychisl. Metody Program. 3, 133–143 (2002).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva, Linear and Quasilinear Equations of Parabolic Type (Nauka, Moscow, 1967; Am. Math. Soc., Providence, R.I., 1968).
N. L. Gol’dman, Differ. Equations 47, 60–69 (2011).
M. Lees and M. H. Protter, Duke Math. J. 28, 369–383 (1961).
A. Friedman, Partial Differential Equations of Parabolic Type (Prentice Hall, Englewood Cliffs, N.J., 1964; Mir, Moscow, 1968).
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Original Russian Text © N.L. Gol’dman, 2012, published in Doklady Akademii Nauk, 2012, Vol. 444, No. 6, pp. 597–601.
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Gol’dman, N.L. Uniqueness of determination of a source function in a quasilinear inverse stefan problem with final observation. Dokl. Math. 85, 406–410 (2012). https://doi.org/10.1134/S1064562412030337
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DOI: https://doi.org/10.1134/S1064562412030337