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Anisotropic Sobolev spaces in the theory of functions

✍ Scribed by Yu. A. Peshkichev

Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
188 KB
Volume
34
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES

Estimates of difference norms for functi
Estimates of difference norms for functions in anisotropic Sobolev spaces
✍ V. I. Kolyada; F. J. PΓ©rez πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 237 KB

## Abstract We investigate the spaces of functions on ℝ^__n__^ for which the generalized partial derivatives __D____~k~f__ exist and belong to different Lorentz spaces __L__ . For the functions in these spaces, the sharp estimates of the Besov type norms are found. The methods used in the paper are

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This paper deals with various aspects of the theory and implementation of finite element methods for elliptic boundary value problems whose variational formulation is posed on anisotropic Sobolev spaces. The theory is applied to the Onsager pancake equation which arises in the study of high speed ga