The Dirichlet problem with BMO boundary data and almost-real coefficients
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Publication:748342
DOI10.4171/RMI/851zbMath1333.35030MaRDI QIDQ748342
Publication date: 20 October 2015
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Dirichlet problemelliptic equationsCarleson measuresLipschitz domainslayer potentialsbounded mean oscillation
Boundary value problems for second-order elliptic equations (35J25) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)
Related Items (2)
Dirichlet problem for Schrödinger equation with the boundary value in the BMO space ⋮ On the caloric functions with BMO traces and their limiting behaviors
Cites Work
- 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
- Area integral estimates for elliptic differential operators with non- smooth coefficients
- Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
- An irregular complex valued solution to a scalar uniformly elliptic equation
- Heat kernels of second order complex elliptic operators and applications
- Functional calculus for a class of complex elliptic operators in dimension one (and applications to some complex elliptic equations in dimension two).
- BMO solvability and the \(A_{\infty}\) condition for elliptic operators
- \(H^p\) spaces of several variables
- Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems
- Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
- Dirichlet Problem in Lipschitz Domains with BMO Data
- Elliptic Partial Differential Equations with Almost-Real Coefficients
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
- Characterizations of bounded mean oscillation
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