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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Displaying similar documents to “The Dirichlet problem for the biharmonic equation in a Lipschitz domain”
The Dirichlet problem for the biharmonic equation in a Lipschitz domain
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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Comparisons of kernel functions boundary Harnack principle and relative Fatou theorem on Lipschitz domains
Jang-Mei G. Wu (1978)
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On a Lipschitz domain in , three theorems on harmonic functions are proved. The first (boundary Harnack principle) compares two positive harmonic functions at interior points near an open subset of the boundary where both functions vanish. The second extends some familiar geometric facts about the Poisson kernel on a sphere to the Poisson kernel on . The third theorem, on non-tangential limits of quotient of two positive harmonic functions in , generalizes Doob’s relative Fatou...
A note on the Rellich formula in Lipschitz domains.
Alano Ancona (1998)
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Let L be a symmetric second order uniformly elliptic operator in divergence form acting in a bounded Lipschitz domain Ω of R and having Lipschitz coefficients in Ω. It is shown that the Rellich formula with respect to Ω and L extends to all functions in the domain D = {u ∈ H (Ω); L(u) ∈ L(Ω)} of L. This answers a question of A. Chaïra and G. Lebeau.
Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems.
Russell M. Brown, Zhongwei Shen (1992)
Revista Matemática Iberoamericana
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We consider initial-boundary value problems for a parabolic system in a Lipschitz cylinder. When the space dimension is three, we obtain estimates for the solutions when the lateral data taken from the best possible range of L-spaces.
On the Poisson integral for Lipschitz and -domains
Björn Dahlbert (1979)
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Pascal Auscher, Philippe Tchamitchian (1999)
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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.
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Ding Hua (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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