Tohoku Mathematical Journal
2008
December
SECOND SERIES VOL. 60, NO. 4

Tohoku Math. J.
60 (2008), 527-547

Title INTRINSIC ULTRACONTRACTIVITY OF NON-SYMMETRIC DIFFUSION SEMIGROUPS IN BOUNDED DOMAINS

Author Panki Kim and Renming Song

(Received September 18, 2007)
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.

2000 Mathematics Subject Classification. Primary 60J25; Secondary 47D07, 60J45.
Key words and phrases. Semigroups, diffusions, ultracontractivity, intrinsic ultracontractivity, invariant functions, logaritheoremic Sobolev inequality.

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