Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries
From MaRDI portal
Publication:6051564
DOI10.1090/tran/9004zbMath1528.35038arXiv2207.13602OpenAlexW4385489846MaRDI QIDQ6051564
Svitlana Mayboroda, Linhan Li, Guy David
Publication date: 20 October 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.13602
Second-order elliptic equations (35J15) Length, area, volume, other geometric measure theory (28A75) Green's functions for elliptic equations (35J08) Harmonic analysis and PDEs (42B37)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- The theory of weights and the Dirichlet problem for elliptic equations
- The Neumann problem for elliptic equations with non-smooth coefficients
- Harmonic measure on locally flat domains
- Dahlberg's theorem in higher co-dimension
- On the Hausdorff dimension of harmonic measure in higher dimension
- Free boundary regularity for harmonic measures and Poisson kernels
- Uniform rectifiability and elliptic operators satisfying a Carleson measure condition
- Carleson measure estimates for the Green function
- Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem
- \(A_\infty\) implies NTA for a class of variable coefficient elliptic operators
- Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates
- Perturbations of elliptic operators in chord arc domains
- A Criterion for the Boundedness of Singular Integrals on Hypersurfaces
- Weighted norm inequalities for maximal functions and singular integrals
- Carleson conditions for asymptotic weights
- A change of variable for Dahlberg-Kenig-Pipher operators
- Modern Fourier Analysis
- Note on time-regularity for weak solutions to parabolic systems of 𝑝-Laplace type
- The Dirichlet problem for elliptic equations with drift terms
- Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains
This page was built for publication: Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries
