Open Access
2008 Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains
Panki Kim, Renming Song
Tohoku Math. J. (2) 60(4): 527-547 (2008). DOI: 10.2748/tmj/1232376165

Abstract

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.

Citation

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Panki Kim. Renming Song. "Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains." Tohoku Math. J. (2) 60 (4) 527 - 547, 2008. https://doi.org/10.2748/tmj/1232376165

Information

Published: 2008
First available in Project Euclid: 19 January 2009

zbMATH: 1167.60017
MathSciNet: MR2487824
Digital Object Identifier: 10.2748/tmj/1232376165

Subjects:
Primary: 60J25
Secondary: 47D07 , 60J45

Keywords: Diffusions , intrinsic ultracontractivity , invariant functions , logaritheoremic Sobolev inequality , semigroups , ultracontractivity

Rights: Copyright © 2008 Tohoku University

Vol.60 • No. 4 • 2008
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