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

2023/05/19 by Martin Dindoš, Steve Hofmann, Jill Pipher · 4 citations
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems

paper · doi:10.1016/j.jfa.2023.110024

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

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• 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