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

Abstract

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.