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Simultaneous Determination of Two Coefficients of a Parabolic Equation in the Case of Nonlocal and Integral Conditions

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We establish conditions for the existence and uniqueness of a solution of the inverse problem for a parabolic equation with two unknown time-dependent coefficients in the case of nonlocal boundary conditions and integral overdetermination conditions.

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REFERENCES

  1. V. M. Vigak, “Construction of a solution of the heat-conduction problem with integral conditions,” Dopov. Akad. Nauk Ukr. No. 8, 57-60 (1994).

    Google Scholar 

  2. N. V. Muzylev, “On the uniqueness of simultaneous determination of the coefficients of heat conductivity and volume heat capacity,” Zh. Vych. Mat. Mat. Fiz. 23, No. 1, 102-108 (1983).

    Google Scholar 

  3. N. I. Ivanchov, “On the inverse problem of simultaneous determination of the coefficients of heat conductivity and heat capacity,” Sib. Mat. Zh. 35, No. 3, 612-621 (1994).

    Google Scholar 

  4. S. M. Koval'chuk, “Determination of the coefficients of heat conductivity and volume heat capacity in multilayer media,” Mat. Met. Fiz.-Mekh. Polya 40, No. 2, 153-159 (1997).

    Google Scholar 

  5. J. R. Cannon, Y. Lin, and S. Wang, “Determination of a control parameter in a parabolic partial differential equation,” J. Austral. Math. Soc., Ser. B 33, 149-163 (1991).

    Google Scholar 

  6. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  7. N. I. Ivanchov, “On the determination of a time-dependent leading coefficient of a parabolic equation,” Sib. Mat. Zh. 39, No. 3, 539-550 (1998).

    Google Scholar 

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Ivanchov, M.I., Pabyrivs'ka, N.V. Simultaneous Determination of Two Coefficients of a Parabolic Equation in the Case of Nonlocal and Integral Conditions. Ukrainian Mathematical Journal 53, 674–684 (2001). https://doi.org/10.1023/A:1012570031242

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  • DOI: https://doi.org/10.1023/A:1012570031242

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