An anti-maximum principle for second-order elliptic operators
✍ Scribed by Ph Clément; L.A Peletier
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 464 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper the work of Berestycki, Nirenberg and Varadhan on the maximum principle and the principal eigenvalue for second order operators on general domains is extended to Riemannian manifolds. In particular it is proved that the refined maximum principle holds for a second order elliptic operat
HILBERT space L,(D) where the coefficients always fulfil the following conditions. ## i) ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8