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Analytic Semigroups and Degenerate Elliptic Operators with Unbounded Coefficients: A Probabilistic Approach

✍ Scribed by Sandra Cerrai

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 176 KB
Volume: 166
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3788

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✦ Synopsis

By using techniques derived from the theory of stochastic differential equations, we prove that a class of second order degenerate elliptic operators having unbounded coefficients generates analytic semigroups in C b (R d ), the space of uniformly continuous and bounded functions from R d into R.