Generation of analytic semigroups by degenerate elliptic operators
✍ Scribed by Ugo Gianazza; Vincenzo Vespri
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1997
- Tongue
- English
- Weight
- 354 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
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.
## Abstract In this paper we study a class of elliptic second‐order differential operators on finite dimensional convex compact sets whose principal part degenerates on a subset of the boundary of the domain. We show that the closures of these operators generate Feller semigroups. Moreover, we app