From Laplacian Transport to Dirichlet-to-Neumann Gibbs) Semigroups

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2008
• Main Author: Zagrebnov, V.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106522
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.