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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm145-1-2,
author = {Kazuaki Taira and Angelo Favini and Silvia Romanelli},
title = {Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions},
journal = {Studia Mathematica},
volume = {147},
year = {2001},
pages = {17-53},
zbl = {0984.47034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm145-1-2}
}
Kazuaki Taira; Angelo Favini; Silvia Romanelli. Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions. Studia Mathematica, Tome 147 (2001) pp. 17-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm145-1-2/