Generalized Carleson perturbations of elliptic operators and applications
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Publication:5039717
DOI10.1090/tran/8635OpenAlexW4226434381WikidataQ114093751 ScholiaQ114093751MaRDI QIDQ5039717
Publication date: 4 October 2022
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.06574
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition, Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition, Carleson perturbations for the regularity problem
Cites Work
- Unnamed Item
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- Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions
- A new characterization of chord-arc domains
- 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
- Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure
- Divergence form operators in Reifenberg flat domains
- Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
- 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
- The Dirichlet problem in non-smooth domains
- The theory of weights and the Dirichlet problem for elliptic equations
- Estimates of harmonic measure
- A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
- Fundamental matrices and Green matrices for non-homogeneous elliptic systems
- BMO solvability and the \(A_\infty\) condition for second order parabolic operators
- Dahlberg's theorem in higher co-dimension
- Construction of a singular elliptic-harmonic measure
- The \(L^ p\) Dirichlet problem for small perturbations of the Laplacian
- Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability
- Good elliptic operators on Cantor sets
- Uniform rectifiability and elliptic operators satisfying a Carleson measure condition
- Absolute continuity of the harmonic measure on low dimensional rectifiable sets
- The generalized Hölder and Morrey-Campanato Dirichlet problems for elliptic systems in the upper half-space
- Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem
- Carleson perturbations of elliptic operators on domains with low dimensional boundaries
- Analytic capacity and measure
- Square functions and the \(A_\infty\) property of elliptic measures
- The Dirichlet problem for parabolic operators with singular drift terms
- Perturbations of elliptic operators in chord arc domains
- Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$
- A Criterion for the Absolute Continuity of the Harmonic Measure Associated With an Elliptic Operator
- Poisson Semigroups and Singular Integrals
- On the Absolute Continuity of Elliptic Measures
- A Criterion for the Boundedness of Singular Integrals on Hypersurfaces
- On the Poisson integral for Lipschitz and $C^{1}$-domains
- Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators
- On weak reverse hölder inequalities for nondoubling harmonic measures
- The method of layer potentials for the heat equation in time-varying domains
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Elliptic Theory for Sets with Higher Co-dimensional Boundaries
- On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition
- Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates
- 𝐴_{∞} estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
- The Dirichlet problem for elliptic equations with drift terms
- Extrapolation of Carleson measures and the analyticity of Kato's square-root operators.
