Bitsadze–Samarskii Boundary Condition for Elliptic-Parabolic Volume Potential

T. Sh. Kal’menov^a^,*, M. Otelbaev^a^,**, and G. D. Arepova ^a^,***
Translated by I. Ruzanova

^aInstitute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan

Correspondence to: *e-mail: kalmenov.t@mail.ru
Correspondence to: **e-mail: otelbaevm@yandex.ru
Correspondence to: ***e-mail: arepovag@mail.ru

Received 9 January, 2018

Abstract—A spectral decomposition of the Green’s function of the Holmgren problem in a cylindrical domain is used to obtain Bitsadze–Samarskii boundary conditions for a regular elliptic-parabolic volume potential.

DOI: 10.1134/S1064562418030079