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Overdetermined problems with possibly degenerate ellipticity, a geometric approach

✍ Scribed by Ilaria Fragalà; Filippo Gazzola; Bernd Kawohl

Publisher
Springer-Verlag
Year
2006
Tongue
French
Weight
201 KB
Volume
254
Category
Article
ISSN
0025-5874

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Analytic Semigroups and Degenerate Ellip
Analytic Semigroups and Degenerate Elliptic Operators with Unbounded Coefficients: A Probabilistic Approach
✍ Sandra Cerrai 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 176 KB

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.