Abstract
Conditions under which the time-dependent temperature conductivity coefficient is determined uniquely are established in the case where the boundary conditions and the overdetermination conditions are non local.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. Ya. Beznoshchenko, “On finding a coefficient in a parabolic equation,”Differents. Uravn.,10, No. 1, 24–35 (1974).
B. F. Jones, “The determination of a coefficient in a parabolic differential equation. Part I,”J. Math. Mech.,11, No. 6, 907–918 (1962).
N. I. Ionkin and E. I. Moiseev, “A problem for the heat-conduction equation with two-point boundary conditions,”Differents. Uravn.,15, No. 7, 1284–1295 (1979).
L. Collatz,Functional Analysis and Numerical Mathematics, Academic Press, New York (1966).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 8, pp. 1066–1071, August, 1993.
Rights and permissions
About this article
Cite this article
Ivanchov, N.I. Inverse problems for the heat-conduction equation with nonlocal boundary conditions. Ukr Math J 45, 1186–1192 (1993). https://doi.org/10.1007/BF01070965
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01070965