Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions

Kazuaki Taira, Angelo Favini, and Silvia Romanelli. "Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions." Studia Mathematica 145.1 (2001): 17-53. <http://eudml.org/doc/285167>.

@article{KazuakiTaira2001,
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.},
author = {Kazuaki Taira, Angelo Favini, Silvia Romanelli},
journal = {Studia Mathematica},
keywords = {Feller semigroup; boundary value problem; characteristic case; degenerate elliptic differential operator; Ventsel' boundary condition; characteristic boundary; diffusion phenomenon; absorption; reflection; viscosity},
language = {eng},
number = {1},
pages = {17-53},
title = {Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions},
url = {http://eudml.org/doc/285167},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Kazuaki Taira
AU - Angelo Favini
AU - Silvia Romanelli
TI - Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 1
SP - 17
EP - 53
AB - 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.
LA - eng
KW - Feller semigroup; boundary value problem; characteristic case; degenerate elliptic differential operator; Ventsel' boundary condition; characteristic boundary; diffusion phenomenon; absorption; reflection; viscosity
UR - http://eudml.org/doc/285167
ER -