EUDML

Currently displaying 1 – 8 of 8

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Quelques résultats sur les problèmes aux limites en théorie des distributions

Giuseppe Geymonat — 1972

Mémoires de la Société Mathématique de France

Osservazioni su un teorema di prolungamento di R. T. Seeley.

Giuseppe Geymonat — 1967

Bollettino dell'Unione Matematica Italiana

Matematica e tecnologia: un’esperienza

Giuseppe Geymonat — 1998

Bollettino dell'Unione Matematica Italiana

Trace Theorems for Sobolev Spaces on Lipschitz Domains. Necessary Conditions

Giuseppe Geymonat — 2007

Annales mathématiques Blaise Pascal

A famous theorem of E. Gagliardo gives the characterization of traces for Sobolev spaces $W^{1, p} (Ω)$ for $1 \leq p < \infty$ when $Ω \subset ℝ^{N}$ is a Lipschitz domain. The extension of this result to $W^{m, p} (Ω)$ for $m \geq 2$ and $1 < p < \infty$ is now well-known when $Ω$ is a smooth domain. The situation is more complicated for polygonal and polyhedral domains since the characterization is given only in terms of local compatibility conditions at the vertices, edges, .... Some recent papers give the characterization for general Lipschitz domains for m=2 in terms of global...