Degenerate Second Order Differential Operators Generating Analytic Semigroups in Lp and W1,p
✍ Scribed by Angelo Favini; Giséle Ruiz Goldstein; Jerome A. Goldstein; Silvia Romanelli
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 272 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
We deal with the problem of analyticity for the semigroup generated by the second order differential operator Au := αu + βu (or by some restrictions of it) in the spaces L p (0, 1), with or without weight, and in W 1,p (0, 1), 1 < p < ∞. Here α and β are assumed real-valued and continuous in [0, 1], with α(x) > 0 in (0, 1), and the domain of A is determined by the generalized Neumann boundary conditions and by Wentzell boundary conditions.
2000 Mathematics Subject Classification. Keywords and phrases. Analytic semigroups, degenerate elliptic operators, generalized Neumann boundary conditions, Wentzell boundary conditions.