Differential equations in Hilbert spaces and applications to boundary value problems in nonsmooth domains
β Scribed by Serge Nicaise
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 985 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
Nemytskii-type differential equation in a Hilbert space X satisfying a relationship of the form x 1 = G x 0 is investigated. Here G is a prespecified operator defined on X.
In this paper we introduce and discuss, in the Clifford algebra framework, certain Hardy-like spaces which are well suited for the study of the Helmholtz equation β¬ u q k 2 u s 0 in Lipschitz domains of β«ήβ¬ nq 1 . In particular, in the second part of the paper, these results are used in connection w
Jacobi approximations in certain Hilbert spaces are investigated. Several weighted inverse inequalities and Poincare inequalities are obtained. Some approximation Εesults are given. Singular differential equations are approximated by using Jacobi polynomials. This method keeps the spectral accuracy.