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An L p -Theory of SPDEs on Lipschitz Domains

Potential Analysis, 2008
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L2 Estimates in Lipschitz Domains

2018
In this chapter we study L2 boundary value problems for \({\mathcal{L}}_{\varepsilon}({u}_{\varepsilon}) = 0\) in a bounded Lipschitz domain Ω.
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Bessel Potential Operators for Canonical Lipschitz Domains

Mathematische Nachrichten, 1991
AbstractWe construct convolution operators which define isomorphisms between SOBOLEV spaces of distributions supported on a canonical LIPSCHITZ domain. These operators are used for reduction of order of WIENER‐HOPF equations or pseudodifferential equations on a canonical LIPSCHITZ domain.
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Variations of Deformations with Self-Contact on Lipschitz Domains

Set-Valued and Variational Analysis, 2018
The author analyzes the injective deformations on Lipschitz domains, motivated by the configurations of solid elastic materials. His goal is to rigorously derive the first order optimality conditions when minimizing over deformations with a self-contact constraint.
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Harmonic functions on Lipschitz domains withVMO data

ANNALI DELL UNIVERSITA DI FERRARA, 1982
In this paper we introduce a space of harmonic functions defined in Lipschitz domains and we show that such a functions characterize all the Poisson integrals of functions with vanishing mean oscillation.
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Holomorphic Lipschitz Functions in Pseudoconvex Domains

American Journal of Mathematics, 1979
Ahern, Patrick, Schneider, Robert
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Lipschitz transformations and Lipschitz domains

2019
Francisco-Javier Sayas   +2 more
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