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Boundary-value problems for the heat equation with a time derivative in the matching conditions

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Literature cited

  1. Yu. A. Mitropol'skii, L. P. Nizhnik, and V. L. Kul'chitskii, “Nonlinear heat equations with a time derivative in the boundary condition,” Inst. Mat. Akad. Nauk Ukr. SSR, Preprint No. IM-74-15, Kiev (1974).

  2. O. A. Oleinik, “Equations of elliptic and parabolic type with discontinuous coefficients,” Usp. Mat. Nauk,14, No. 5, 164–166 (1959).

    Google Scholar 

  3. Z. G. Sheftel', “Energy inequalities and general boundary-value problems for elliptic equations with discontinuous coefficients,” Sib. Mat. Zh.,6, No. 3, 636–669 (1965).

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  4. M. A. Krasnosel'skii, P. P. Zabreiko, E. I. Pustyl'nik, and P. E. Sobolevskii, Integral Operators in Spaces of Integrable Functions [in Russian], Nauka, Moscow (1972).

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  5. S. G. Krein (ed.), Functional Analysis [in Russian], Nauka, Moscow (1972).

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  6. Yu. M. Berezanskii, Expansions in Eigenfunction of Selfadjoint Operators, Amer. Math. Soc. (1968).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 1, pp. 121–126, January–February, 1982.

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Nizhnik, L.P., Taraborkin, L.A. Boundary-value problems for the heat equation with a time derivative in the matching conditions. Ukr Math J 34, 103–107 (1982). https://doi.org/10.1007/BF01086146

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  • DOI: https://doi.org/10.1007/BF01086146

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