Bitsadze–Samarskii Boundary Condition for Elliptic-Parabolic Volume Potential


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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.

About the authors

T. Sh. Kal’menov

Institute of Mathematics and Mathematical Modeling

Author for correspondence.
Email: kalmenov.t@mail.ru
Kazakhstan, Almaty, 050010

M. Otelbaev

Institute of Mathematics and Mathematical Modeling

Email: kalmenov.t@mail.ru
Kazakhstan, Almaty, 050010

G. D. Arepova

Institute of Mathematics and Mathematical Modeling

Email: kalmenov.t@mail.ru
Kazakhstan, Almaty, 050010

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