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
A reverse Hölder inequality for the eigenfunctions of linear second order elliptic operators
✍ Scribed by Giuseppe Chiti
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 205 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0044-2275
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📜 SIMILAR VOLUMES
## Communicated by Klaus Guerlebeck Biquaternionic Vekua-type equations arising from the factorization of linear second order elliptic operators are studied. Some concepts from classical pseudoanalytic function theory are generalized onto the considered spatial case. The derivative and antiderivat
We consider a class of second order elliptic operators on a d-dimensional cube S d . We prove that if the coefficients are of class C k+δ (S d ), with k = 0, 1 and δ ∈ (0, 1), then the corresponding elliptic problem admits a unique solution u belonging to C k+2+δ (S d ) and satisfying non-standard b