We extend the concept of intrinsic ultracontractivity to non-symmetric semigroups and prove the intrinsic ultracontractivity of the Dirichlet semigroups of non-symmetric second order elliptic operators in bounded Lipschitz domains.
@article{1232376165,
author = {Kim, Panki and Song, Renming},
title = {Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains},
journal = {Tohoku Math. J. (2)},
volume = {60},
number = {1},
year = {2008},
pages = { 527-547},
language = {en},
url = {http://dml.mathdoc.fr/item/1232376165}
}
Kim, Panki; Song, Renming. Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp. 527-547. http://gdmltest.u-ga.fr/item/1232376165/