On the traces of W2,p(Ω) for a Lipschitz domain.

Ricardo G. Durán; María Amelia Muschietti

Displaying similar documents to “On the traces of W2,p(Ω) for a Lipschitz domain.”

Asymptotic behaviour for a phase field model in higher order Sobolev spaces.

Angela Jiménez-Casas, Aníbal Rodríguez-Bernal (2002)

Revista Matemática Complutense

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In this paper we analyze the long time behavior of a phase-field model by showing the existence of global compact attractors in the strong norm of high order Sobolev spaces.

Boundary sentinels in cylindrical domains.

J. Saint Jean Paulin, M. Vanninathan (2001)

Revista Matemática Complutense

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We study a model describing vibrations of a cylindrical domain with thickness e > 0. A characteristic of this model is that it contains pollution terms in the boundary data and missing terms in the initial data. The method of sentinels'' of J. L. Lions [7] is followed to construct a sentinel using the observed vibrations on the boundary. Such a sentinel, by construction, provides information on pollution terms independent of missing terms. This requires resolution of initial-boundary...

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

Hans Triebel (2002)

Revista Matemática Complutense

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Function spaces of type B and F cover as special cases classical and fractional Sobolev spaces, classical Besov spaces, Hölder-Zygmund spaces and inhomogeneous Hardy spaces. In the last 2 or 3 decades they haven been studied preferably on R and in smooth bounded domains in R including numerous applications to pseudodifferential operators, elliptic boundary value problems etc. To a lesser extent spaces of this type have been considered in Lipschitz domains....

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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Some notes to the transport equation and to the Green formula

Sébastien Novo, Antonín Novotný, Milan Pokorný (2001)

Rendiconti del Seminario Matematico della Università di Padova

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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 $L^{2} (\partial D)$ .