Dicrete Hölder estimates for a certain kind of parametrix. II

DOI10.13108/2017-9-2-62zbMath1463.35024OpenAlexW2737977900MaRDI QIDQ5136697

Anton Igor'evich Parfënov

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa376

zbMATH Keywords

potentialparametrixLipschitz domainstraighteningcubic discretizationlocal Hölder norms

Mathematics Subject Classification ID

Parametrices in context of PDEs (35A17)

Related Items (2)

Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I ⋮ Criterion for the vanishing of the oscillation of the real part of a conformal mapping of strips

Cites Work

• Unnamed Item
• A weighted a priori estimate in rectifiable domains of local Lyapunov-Dini type
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Asymptotic formula for solutions to elliptic equations near the Lipschitz boundary
• Asymptotic behavior of positive harmonic functions in certain unbounded domains
• A criterion for straightening a Lipschitz surface in the Lizorkin—Triebel sense. III
• Discrete Hölder estimates for a parametrix variation
• Behavior of Solutions to the Dirichlet Problem for Elliptic Systems in Convex Domains
• Positive Harmonic Functions on Lipschitz Domains

This page was built for publication: Dicrete Hölder estimates for a certain kind of parametrix. II