Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions
Volume 145 / 2001
Studia Mathematica 145 (2001), 17-53
MSC: Primary 47D07, 35J25; Secondary 47D06, 60J35, 60J60.
DOI: 10.4064/sm145-1-2
Abstract
This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Wentzell boundary conditions in the characteristic case. Our results may be stated as follows: We can construct Feller semigroups corresponding to a diffusion phenomenon including absorption, reflection, viscosity, diffusion along the boundary and jump at each point of the boundary.
