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Uniqueness of determination of a source function in a quasilinear inverse stefan problem with final observation

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References

  1. N. Zabaras and K. Yuan, Numer. Heat Transfer B 26, 97–104 (1994).

    Article  Google Scholar 

  2. D. Slota, Numer. Heat Transfer A 59, 755–768 (2011).

    Article  Google Scholar 

  3. B. T. Johansson, D. Lesnic, and T. Reeve, Appl. Math. Model. 35, 4367–4378 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  4. N. Gol’dman, Inverse Stefan Problems (Kluwer Academic, Dordrecht, 1997).

    Book  MATH  Google Scholar 

  5. N. L. Gol’dman, Inverse Stefan Problems: Theory and Solution Methods (Mosk. Gos. Univ., Moscow, 1999) [in Russian].

    Google Scholar 

  6. N. L. Gol’dman, Dokl. Math. 64, 253–257 (2001).

    Google Scholar 

  7. N. L. Gol’dman, Vychisl. Metody Program. 3, 133–143 (2002).

    Google Scholar 

  8. 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).

    MATH  Google Scholar 

  9. N. L. Gol’dman, Differ. Equations 47, 60–69 (2011).

    Article  MATH  Google Scholar 

  10. M. Lees and M. H. Protter, Duke Math. J. 28, 369–383 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  11. A. Friedman, Partial Differential Equations of Parabolic Type (Prentice Hall, Englewood Cliffs, N.J., 1964; Mir, Moscow, 1968).

    MATH  Google Scholar 

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Correspondence to N. L. Gol’dman.

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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

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