Literature Cited
A. N. Tikhonov, “Uniqueness theorem for the heat-conduction equation,” Mat. Sb.,42, No. 2, 199–216 (1935).
M. M. Lavrent'ev, V. G. Vasil'ev, and V. G. Romanov, Multidimensional Converse Problems for Differential Equations [in Russian], Nauka, Novosibirsk (1969).
A. I. Prilenko, “Converse problems of potential theory (elliptic, parabolic, hyperbolic equations and transport equations),” Mat. Zam.,14, No. 5, 755–767 (1973).
V. G. Romanov, Converse Problems for Differential Equations [in Russian], Special Course for Students of the Novosibirsk State University, Novosibirsk (1973).
B. M. Budak and A. D. Iskenderov, “A class of boundary-value problems with unknown coefficients,” Dokl. AN SSSR,175, No. 1, 13–16 (1967).
B. M. Budak and A. D. Iskenderov, “A class of converse boundary-value problems with unknown coefficients,” Dokl. AN SSSR,176, No. 1, 20–23 (1967).
M. M. Lavrent'ev and K. G. Reznitskaya, “Uniqueness theorems for some nonlinear converse problems for parabolic-type equations,” Dokl. AN SSSR,208, No. 3, 531–533 (1973).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Parabolic Equations [in Russian], Nauka, Moscow (1967).
A. Friedman, Parabolic Partial Differential Equations [Russian translation], Mir, Moscow (1968).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 3, pp. 473–482, May–June, 1975.
Rights and permissions
About this article
Cite this article
Beznoshchenko, N.Y. Determination of coefficients of higher terms in a parabolic equation. Sib Math J 16, 360–367 (1975). https://doi.org/10.1007/BF00967526
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967526