Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions

2023/05/19 by Martin Dindoš, Steve Hofmann, Jill Pipher · 6 citations
Mathematics · #Advanced Harmonic Analysis Research #Boundary value problem #Combinatorics #Differential Equations and Boundary Problems #Dirichlet distribution #Dirichlet problem #Discrete mathematics #Domain (mathematical analysis) #Elliptic operator #Lipschitz continuity #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Nonlinear Partial Differential Equations #Norm (philosophy) #Operator (biology) #Operator norm #Operator theory #Pure mathematics

paper · open access · doi:10.1016/j.jfa.2023.110024

published in Journal of Functional Analysis 285(6), 110024 (Elsevier BV)

openalex publication_date 2023/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Citations

• Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition
• 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
• Poisson semigroups and singular integrals
• Hp spaces of several variables
• The 𝐿^𝑝 Dirichlet boundary problem for second order elliptic Systems with rough coefficients

Cited by

• A relation between the Dirichlet and the Regularity problem for parabolic equations
• An alternative proof of the L^p-regularity problem for Dahlberg-Kenig-Pipher operators on \mathbb Rⁿ₊
• Equivalence between solvability of the Dirichlet and Regularity problem under an L¹ Carleson condition on ∂_t A
• The L^p regularity problem for parabolic operators with transversally independent coefficients
• Equivalent Characterizations and Their Applications of Solvability of L^p Poisson--Robin(-Regularity) Problems on Rough Domains
• On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative. [europepmc]