A multidimensional model of the diffusion process with membrane whose properties are described by a general Wentzel boundary condition

• Date: 2006
• Main Authors: Kopytko, B.I., Tsapovs’ka, Z.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4443
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A multidimensional model of the diffusion process with membrane whose properties are described by a general Wentzel boundary condition / B.I. Kopytko, Z.Ya. Tsapovs’ka // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 77–86. — Бібліогр.: 12 назв.— англ.

By methods of the general potential theory, a semigroup of operators is constructed that describes a multidimensional diffusion process with membrane located on a given hypersurface, whose properties are determined by a general Wentzel boundary condition.