Dahlberg’s bilinear estimate for solutions of divergence form complex elliptic equations
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Publication:3542040
DOI10.1090/S0002-9939-08-09500-2zbMath1172.42006arXiv0705.0839OpenAlexW1982553493MaRDI QIDQ3542040
Publication date: 27 November 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.0839
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)
Related Items (6)
Commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains ⋮ On domain of Poisson operators and factorization for divergence form elliptic operators ⋮ On Poisson operators and Dirichlet-Neumann maps in $H^s$ for divergence form elliptic operators with Lipschitz coefficients ⋮ \(L^2\) estimates for commutators of the Dirichlet-to-Neumann map associated to elliptic operators with complex-valued bounded measurable coefficients on \(\mathbb{R}_+^{n+1}\) ⋮ Periodic Homogenization of Green and Neumann Functions ⋮ Commutator estimates for the Dirichlet-to-Neumann map associated to parabolic equations with complex-valued and measurable coefficients on \(\mathbb{R}_+^{n + 2} \)
Cites Work
- Unnamed Item
- Unnamed Item
- Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- The solution of the Kato problem in two dimensions
- The Green function estimates for strongly elliptic systems of second order
- \(H^p\) spaces of several variables
- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
- Continuity of Solutions of Parabolic and Elliptic Equations
- Poisson Semigroups and Singular Integrals
- Regularity Theorems and Heat Kernel for Elliptic Operators
- The Dirichlet problem for elliptic equations with drift terms
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