✦ LIBER ✦

Lp Uniqueness of Non-symmetric Diffusion Operators with Singular Drift Coefficients: I. The Finite-Dimensional Case

✍ Scribed by Andreas Eberle

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 150 KB
Volume: 173
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2000.3574

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✦ Synopsis

Two uniqueness results for C 0 semigroups on weighted L p spaces over R n generated by operators of type 2+; } { with singular drift ; are proven. A key ingredient in the proofs is the verification of some kind of ``weak Kato inequality'' which seems to break down exactly for those drift singularities where L p uniqueness breaks down as well.