Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.

Hans Triebel

Displaying similar documents to “Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.”

Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains

Carlos E. Kenig (1983-1984)

Séminaire Équations aux dérivées partielles (Polytechnique)

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A regularity result for boundary value problems on Lipschitz domains

Ding Hua (1989)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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The Dirichlet problem for the biharmonic equation in a Lipschitz domain

Björn E. J. Dahlberg, C. E. Kenig, G. C. Verchota (1986)

Annales de l'institut Fourier

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In this paper we study and give optimal estimates for the Dirichlet problem for the biharmonic operator $Δ^{2}$ , on an arbitrary bounded Lipschitz domain $D$ in $R^{n}$ . We establish existence and uniqueness results when the boundary values have first derivatives in $L^{2} (\partial D)$ , and the normal derivative is in $L^{2} (\partial D)$ . The resulting solution $u$ takes the boundary values in the sense of non-tangential convergence, and the non-tangential maximal function of $\nabla u$ is shown to be in $L^{2} (\partial D)$ .

Axiom systems for Lipschitz structures

Robert Fraser (1970)

Fundamenta Mathematicae

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On the estension of Lipschitz functions with respect to two Hilbert norms and two Lipschitz conditions

Chandan S. Vora (1973)

Rendiconti del Seminario Matematico della Università di Padova

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The Trace of Sobolev-Slobodeckij spaces on Lipschitz domains.

Jürgen Marschall (1987)

Manuscripta mathematica

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Bi-Lipschitz Bijections of Z

Itai Benjamini, Alexander Shamov (2015)

Analysis and Geometry in Metric Spaces

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It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.

An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.

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.

The Dirichlet problem for the biharmonic equation in a Lipschitz domain

Carlos E. Kenig (1984-1985)

Séminaire Équations aux dérivées partielles (Polytechnique)

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