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Fourier approximation and embeddings of Sobolev spaces

D. E. Edmunds; V. B. Moscatelli — 1977

CONTENTSIntroduction............................................................................................................ 51. Preliminaries............................................................................................................. 82. Embedding into $W^{m, p} (Ω)$ into $L^{S} (Ω)$ (n>1).......................................... 103. The case n = 1.......................................................................................................... 284. Embedding $W^{m, p} (Ω)$ into $L^{φ} (Ω)$ ...............................................................

Some remarks on variants of the Navier-Stokes equations

R. H. Dyer; D. E. Edmunds — 1971

Colloquium Mathematicae

Quasilinear parabolic equations

D. E. Edmunds; L. A. Peletier — 1971

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Elliptic and degenerate-elliptic operators in unbounded domains

D. E. Edmunds; W. D. Evans — 1973

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Spaces of Lipschitz type, embeddings and entropy numbers

Edmunds D. E.; Haroske D. — 1999

AbstractWe establish the sharpness of the embedding of certain Besov and Triebel-Lizorkin spaces in spaces of Lipschitz type. In particular, this proves the sharpness of the Brézis-Wainger result concerning the “almost” Lipschitz continuity of elements of the Sobolev space $H_{p}^{1 + n / p} (ℝ ⁿ)$ , where 1 < p < ∞. Upper and lower estimates are obtained for the entropy numbers of related embeddings of Besov spaces on bounded domains. CONTENTSIntroduction...........................................................51....

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