The Lp Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system (Q5012779)

scientific article; zbMATH DE number 7433746

Language	Label	Description	Also known as
English	The <i>L<sup>p</sup></i> Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system	scientific article; zbMATH DE number 7433746

Statements

instance of

scholarly article

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title

The Lp Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system (English)

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author

Martin Dindoš

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published in

Communications in Partial Differential Equations

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publication date

25 November 2021

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full work available at URL

https://arxiv.org/abs/2006.13015

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zbMATH Keywords

elliptic systems

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boundary value problems

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Carleson condition

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MaRDI profile type

MaRDI publication profile

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cites work

The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function

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Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition

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The Dirichlet problem for elliptic equations with drift terms

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The 𝐿^{𝑝} Dirichlet boundary problem for second order elliptic Systems with rough coefficients

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Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem

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Perturbation theory for solutions to second order elliptic operators with complex coefficients and the \(L^p\) Dirichlet problem

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Parabolic \(L^p\) Dirichlet boundary value problem and VMO-type time-varying domains

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Boundary value problems for the systems of elastostatics in Lipschitz domains

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Q3818551

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The Dirichlet problem for the Stokes system on Lipschitz domains

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Layer potentials and boundary value problems for elliptic systems in Lipschitz domains

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The mixed problem for the Lamé system in a class of Lipschitz domains

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Q3762712

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Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains

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The \(L^p\) Dirichlet problem for elliptic systems on Lipschitz domains

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The Dirichlet problem for elliptic systems with data in Köthe function spaces

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Extrapolation for the \(L^p\) Dirichlet problem in Lipschitz domains

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The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains

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The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).

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\(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators

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

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Weighted maximal regularity estimates and solvability of nonsmooth elliptic systems. II

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Solvability of elliptic systems with square integrable boundary data

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

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Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems

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Complex Spherical Waves for the Elasticity System and Probing of Inclusions

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Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients

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The Dirichlet problem in domains with lower dimensional boundaries

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

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Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.

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Lp resolvent estimates for variable coefficient elliptic systems on Lipschitz domains

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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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Identifiers

zbMATH Open document ID

1480.35157

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DOI

10.1080/03605302.2021.1892131

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5012779

The <i>L<sup>p</sup></i> Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system (Q5012779)

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Identifiers

Sitelinks

Mathematics(1 entry)