This is a preview of subscription content, log in via an institution to check access.
Literature Cited
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).
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 (1966).
S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).
I. B. Simonenko, “Justification of the averaging method for a problem of convection in a field of rapidly oscillating forces and for other parabolic equations,” Matem. Sb.,87 (129), No. 2, 236–253 (1972).
I. B. Simonenko, “Approximate-momentary scales and interpolation theorems,” Matematicheskii Analiz i Ego Prilozheniya,3, 37–52 (1971).
I. B. Simonenko, “Problems of electrostatics in a nonhomogeneous medium. The case of a thin dielectric with a high dielectric constant, I,” Differents. Uravnen.,10, No. 2, 301–309 (1974).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 6, pp. 1291–1300, November–December, 1975.
Rights and permissions
About this article
Cite this article
Simonenko, I.B. Limit problem in thermal conductivity in a nonhomogeneous medium. Sib Math J 16, 991–998 (1975). https://doi.org/10.1007/BF00967397
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967397