INTRINSIC ULTRACONTRACTIVITY OF NON-SYMMETRIC DIFFUSION SEMIGROUPS IN BOUNDED DOMAINS

PANKI KIM; RENMING SONG

doi:10.2748/tmj/1232376165

Tohoku Mathematical Journal, Second Series

Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735

INTRINSIC ULTRACONTRACTIVITY OF NON-SYMMETRIC DIFFUSION SEMIGROUPS IN BOUNDED DOMAINS

PANKI KIM, RENMING SONG

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Keywords: Semigroups, diffusions, ultracontractivity, intrinsic ultracontractivity, invariant functions, logaritheoremic Sobolev inequality

JOURNAL FREE ACCESS

2008 Volume 60 Issue 4 Pages 527-547

DOI https://doi.org/10.2748/tmj/1232376165

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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.

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