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

DOI10.1016/j.aim.2010.04.019zbMath1203.35087OpenAlexW2019276535MaRDI QIDQ1959444

Svitlana Mayboroda

Publication date: 7 October 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.04.019

zbMATH Keywords

Dirichlet problemNeumann problemelliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30)

Related Items (15)

Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem ⋮ Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ The Dirichlet problem for higher order equations in composition form ⋮ The method of layer potentials inL^pand endpoint spaces for elliptic operators withL^∞coefficients ⋮ The regularity problem for degenerate elliptic operators in weighted spaces ⋮ The regularity problem for uniformly elliptic operators in weighted spaces ⋮ Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces ⋮ On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi-Nash-Moser regularity ⋮ Representation and uniqueness for boundary value elliptic problems via first order systems ⋮ The Dirichlet problem in domains with lower dimensional boundaries ⋮ Elliptic Partial Differential Equations with Almost-Real Coefficients ⋮ Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials ⋮ Vertical square functions and other operators associated with an elliptic operator ⋮ The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients ⋮ Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains

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