Carleson perturbations for the regularity problem
From MaRDI portal
Publication:6118202
DOI10.4171/rmi/1401arXiv2203.07992MaRDI QIDQ6118202
Svitlana Mayboroda, Zanbing Dai, Joseph Feneuil
Publication date: 23 February 2024
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.07992
Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Degenerate elliptic equations (35J70) Boundary behavior of harmonic functions in higher dimensions (31B25)
Cites Work
- A new characterization of chord-arc domains
- Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I
- Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure
- The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function
- Some new function spaces and their applications to harmonic analysis.
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- The Dirichlet problem in non-smooth domains
- The theory of weights and the Dirichlet problem for elliptic equations
- Weighted Hardy spaces
- Estimates of harmonic measure
- The Neumann problem for elliptic equations with non-smooth coefficients
- A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
- Fatorization of tent spaces and Hankel operators
- Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem
- Dahlberg's theorem in higher co-dimension
- Construction of a singular elliptic-harmonic measure
- The Neumann problem for elliptic equations with nonsmooth coefficients. II
- Sobolev spaces on an arbitrary metric space
- Weighted maximal regularity estimates and solvability of nonsmooth elliptic systems. II
- Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability
- The Dirichlet problem in domains with lower dimensional boundaries
- Square functions, nontangential limits, and harmonic measure in codimension larger than 1
- Absolute continuity of the harmonic measure on low dimensional rectifiable sets
- Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem
- Boundary value problems for second-order elliptic operators with complex coefficients
- Carleson perturbations of elliptic operators on domains with low dimensional boundaries
- Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets
- The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
- The regularity problem for elliptic operators with boundary data in Hardy-Sobolev space \(HS^1\)
- Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition
- A Criterion for the Absolute Continuity of the Harmonic Measure Associated With an Elliptic Operator
- 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
- The Neumann problem on Lipschitz domains
- Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators
- Elliptic Theory for Sets with Higher Co-dimensional Boundaries
- Generalized Carleson perturbations of elliptic operators and applications
- 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
- Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
- The 𝐿^{𝑝} Dirichlet boundary problem for second order elliptic Systems with rough coefficients
- The Dirichlet problem for elliptic equations with drift terms
- Harmonic Measure Is Absolutely Continuous with Respect to the Hausdorff Measure on All Low-Dimensional Uniformly Rectifiable Sets
- Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions
- Elliptic theory in domains with boundaries of mixed dimension
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Carleson perturbations for the regularity problem
