On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi-Nash-Moser regularity (Q2210884)

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English	On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi-Nash-Moser regularity	scientific article

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instance of

scholarly article

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title

On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi-Nash-Moser regularity (English)

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9 November 2020

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full work available at URL

https://arxiv.org/abs/1703.09429

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zbMATH Keywords

second-order divergence-form elliptic system

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Dirichlet problem

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uniqueness of solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients

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Elliptic Boundary Value Problems with Fractional Regularity Data

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Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I

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Representation and uniqueness for boundary value elliptic problems via first order systems

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Functional calculus for first order systems of Dirac type and boundary value problems

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Solvability of elliptic systems with square integrable boundary data

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Quadratic estimates and functional calculi of perturbed Dirac operators

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Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients

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Gaussian heat kernel bounds through elliptic Moser iteration

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Estimates of harmonic measure

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Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains

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The Green function estimates for strongly elliptic systems of second order

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The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

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Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators

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Layer potentials and boundary value problems for elliptic equations with complex \(L^\infty\) coefficients satisfying the small Carleson measure norm condition

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The method of layer potentials inLpand endpoint spaces for elliptic operators withL∞coefficients

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Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n

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The Dirichlet problem in non-smooth domains

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The Neumann problem for elliptic equations with non-smooth coefficients

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On the \(L^{p}\)-Poisson semigroup associated with elliptic systems

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The connections between Dirichlet, regularity and Neumann problems for second order elliptic operators with complex bounded measurable coefficients

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Layer potentials beyond singular integral operators

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Q4073920

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Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains

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Identifiers

zbMATH Open document ID

1454.35126

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DOI

10.2140/apde.2020.13.1605

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2210884