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
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2008 Volume 60 Issue 4 Pages 527-547

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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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© 2008 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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