In this article, we prove a higher order interpolation result for square -integrable functions by using generalized coiflets. Convergence of approximation by using generalized coiflets is shown. Applications to wavelet -Galerkin approximation of elliptic partial differential equations and some numer
✦ LIBER ✦
Bounded point evaluations and approximation in Lp by solutions of elliptic partial differential equations
✍ Scribed by Claes Fernström; John C Polking
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 823 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0022-1236
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## Abstract We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra 𝔄. We construct an integral representation and discuss the properties of the kernels.