Elliptic Partial Differential Equations with Almost-Real Coefficients
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Publication:4979150
DOI10.1090/S0065-9266-2012-00677-0zbMath1298.35046arXiv0911.2513OpenAlexW2030411738MaRDI QIDQ4979150
Publication date: 17 June 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.2513
Boundary value problems for second-order elliptic equations (35J25) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Related Items (10)
Estimates for Green functions of Stokes systems in two dimensional domains ⋮ The Dirichlet problem for higher order equations in composition form ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms ⋮ Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces ⋮ Representation and uniqueness for boundary value elliptic problems via first order systems ⋮ The Neumann problem for higher order elliptic equations with symmetric coefficients ⋮ The Ẇ−1,p Neumann problem for higher order elliptic equations ⋮ The Dirichlet problem with BMO boundary data and almost-real coefficients ⋮ Dirichlet and Neumann boundary values of solutions to higher order elliptic equations ⋮ Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials
Cites Work
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- Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I
- Elliptic equations in the plane satisfying a Carleson measure condition
- Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients
- Solvability of elliptic systems with square integrable boundary data
- On the theory of harmonic functions of several variables
- Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure
- Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
- An irregular complex valued solution to a scalar uniformly elliptic equation
- Hardy spaces of the conjugate Beltrami equation
- The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function
- Hardy and BMO spaces associated to divergence form elliptic operators
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
- Hardy spaces and the Dirichlet problem on Lipschitz domains
- The Dirichlet problem in non-smooth domains
- On the Hardy space-H of a \(C^ 1\) domain
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- The theory of weights and the Dirichlet problem for elliptic equations
- Interpolation between \(L^\infty\) and \(H^1\), the real method
- BMO functions and the \(\overline\partial\)-equation
- Potential techniques for boundary value problems on \(C^1\)-domains
- Estimates of harmonic measure
- Large perturbations of elliptic operators and the solvability of the \(L^ p\) Dirichlet problem
- The Neumann problem for elliptic equations with non-smooth coefficients
- Heat kernels of second order complex elliptic operators and applications
- Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
- A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- Functional calculus for a class of complex elliptic operators in dimension one (and applications to some complex elliptic equations in dimension two).
- The Neumann problem for elliptic equations with nonsmooth coefficients. II
- The connections between Dirichlet, regularity and Neumann problems for second order elliptic operators with complex bounded measurable coefficients
- Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains
- The \(L^{p}\) boundary value problems on Lipschitz domains
- The Green function estimates for strongly elliptic systems of second order
- Error-bounds for finite element method
- \(H^p\) spaces of several variables
- Continuity of Solutions of Parabolic and Elliptic Equations
- Opérateurs intégraux singuliers sur certaines courbes du plan complexe
- A Criterion for the Absolute Continuity of the Harmonic Measure Associated With an Elliptic Operator
- Modern Fourier Analysis
- The regularity and Neumann problem for non-symmetric elliptic operators
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- On the Absolute Continuity of Elliptic Measures
- On Harnack's theorem for elliptic differential equations
- On the Poisson integral for Lipschitz and $C^{1}$-domains
- The Neumann problem on Lipschitz domains
- Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
- Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
- The Dirichlet problem for elliptic equations with drift terms
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