The -Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary
Osama Abdelkader, Sayed Saber (2005)
Mathematica Slovaca
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Osama Abdelkader, Sayed Saber (2005)
Mathematica Slovaca
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Sayed Saber (2011)
Czechoslovak Mathematical Journal
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On a bounded -pseudoconvex domain in with a Lipschitz boundary, we prove that the -Neumann operator satisfies a subelliptic -estimate on and can be extended as a bounded operator from Sobolev -spaces to Sobolev -spaces.
Pascal Auscher, Philippe Tchamitchian (1999)
Publicacions Matemàtiques
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We prove a commutator inequality of Littlewood-Paley type between partial derivatives and functions of the Laplacian on a Lipschitz domain which gives interior energy estimates for some BVP. It can be seen as an endpoint inequality for a family of energy estimates.
Carlos E. Kenig (1983-1984)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Emil Straube (2004)
Annales de l’institut Fourier
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For smooth bounded pseudoconvex domains in , we provide geometric conditions on the boundary which imply compactness of the -Neumann operator. It is noteworthy that the proof of compactness does proceed via verifying the known potential theoretic sufficient conditions.
Torsten Hefer, Ingo Lieb (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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