This is a preview of subscription content, log in via an institution to check access.
References
A. I. Prilepko and A. B. Kostin, “On inverse problems of determining a coefficient in a parabolic equation. I,” Sibirsk. Mat. Zh.,33, No. 3, 146–155 (1992).
A. I. Prilepko and A. B. Kostin, “On inverse problems of determining a coefficient in a parabolic equation. II,” Sibirsk. Mat. Zh.,34, No. 3, 147–162 (1993).
B. F. Jones, “The determination of a coefficient in a parabolic differential equation. I,” J. Math. Mech.,11, No. 6, 907–918 (1962).
A. Lorenzi, “Determination of a time-dependent coefficient in a quasi-linear parabolic equation,” Ricerche Mat.,32, No. 2, 263–284 (1983).
N. I. Ivanchov, “On the inverse problem of simultaneous determination of thermal conductivity and specific heat capacity,” Sibirsk. Mat. Zh.,35, No. 3, 612–621 (1994).
M. I. Ivanchov, Inverse Problems of Thermal Conductivity with Nonlocal Data [in Ukrainian] [Preprint], Kiev (1995).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).
A. N. Tikhonov and A. A. Samarskiî, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1977).
A. Friedman, Partial Differential Equations of Parabolic Type [Russian translation], Mir, Moscow (1968).
L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).
Additional information
L'vov. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 3, pp. 539–550, May–June, 1998.
Rights and permissions
About this article
Cite this article
Ivanchov, N.I. On determination of a time-dependent leading coefficient in a parabolic equation. Sib Math J 39, 465–475 (1998). https://doi.org/10.1007/BF02673901
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02673901