Dirichlet regularity of subanalytic domains

DOI10.1090/S0002-9947-08-04609-6zbMath1159.31002MaRDI QIDQ3542016

Tobias Kaiser

Publication date: 27 November 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64)

Related Items (4)

Semialgebraic sets and the Łojasiewicz-Siciak condition ⋮ First order tameness of measures ⋮ The Dirichlet problem in the plane with semianalytic raw data, quasi analyticity, and o-minimal structure ⋮ An estimate for the Siciak extremal function -- subanalytic geometry approach

Cites Work

• \(p\)-adic and real subanalytic sets
• Capacity in subanalytic geometry
• Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
• Semianalytic and subanalytic sets
• Verdier and strict Thom stratifications in o-minimal structures
• Potential theory. 2nd ed
• On semi- and subanalytic geometry
• John functions, quadratic integral forms and \(o\)-minimal structures
• Équisingularité réelle : nombres de Lelong et images polaires
• Lipschitz stratification of subanalytic sets
• Extension of range of functions
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