Посилання:From Laplacian Transport to Dirichlet-to-Neumann Gibbs) Semigroups / V.A. Zagrebnov // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 551-568. — Бібліогр.: 23 назв. — англ.
Підтримка:This paper is based on the lecture given by the author at the Lyapunov Memorial Conference, June 24-30, 2007 (Kharkiv National University, Ukraine). I would like to express my gratitude to the organizers and in particular to Prof. Leonid A. Pastur for invitation and for support. The conference talk, as well as the present account, is a part of the common project with Prof. Hassan Emamirad, whom I would like to thank for fruitful and pleasant collaboration.
The paper gives a short account of some basic properties of Dirichlet-to-Neumann operators Λγ∂Ω including the corresponding semigroups motivated by the Laplacian transport in anisotropic media (γ ≠ I) and by elliptic systems with dynamical boundary conditions.