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Embeddings of anisotropic sobolev spaces

✍ Scribed by D. E. Edmunds; R. M. Edmunds


Publisher
Springer
Year
1986
Tongue
English
Weight
341 KB
Volume
94
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES


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## Abstract Let Ξ© be an open subset of ℝ^__n__^ and let __p__ ∈ [1, __n__). We prove that the measure of non–compactness of the Sobolev embedding __W__^__k,p__^~0~(Ξ©) β†’ __L__^__p__\*^(Ξ©) is equal to its norm. This means that the entropy numbers of this embedding are constant and equal to the norm.

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✍ J.F. Eastham; J.S. Peterson πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 651 KB

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