Expansion of harmonic functions near the boundary of Dini domains

DOI10.4171/RMI/1380MaRDI QIDQ2692505

Yanyan Li

Publication date: 21 March 2023

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06324

zbMATH Keywords

harmonic functionunique continuation propertyboundary regularityDini domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Connections of harmonic functions with differential equations in higher dimensions (31B35) Harmonic analysis and PDEs (42B37)

Related Items (1)

Calculus of variations. Abstracts from the workshop held August 14--20, 2022

Cites Work

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• On \(C^1\), \(C^2\), and weak type-\((1,1)\) estimates for linear elliptic operators. II
• Pathological solutions to elliptic problems in divergence form with continuous coefficients
• Boundary unique continuation on \(C^1\)-dini domains and the size of the singular set
• Nonunique continuation for uniformly parabolic and elliptic equations in selfadjoint divergence form with Hölder continuous coefficients
• Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
• Unique continuation on the boundary for Dini domains
• C1,? domains and unique continuation at the boundary

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