Boundary behaviour of hypersingular potentials

DOI10.1007/s11565-018-0310-xzbMath1419.31005OpenAlexW2895544943WikidataQ129090388 ScholiaQ129090388MaRDI QIDQ2000597

Vita Leonessa, Alberto Cialdea, Angelica Malaspina

Publication date: 28 June 2019

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-018-0310-x

zbMATH Keywords

jump relationsHadamard finite-part integralsLyapunov-Tauber propertypotentials with hypersingular kernels

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Ten equivalent definitions of the fractional Laplace operator
• Boundary integral equations
• A general theory of hypersurface potentials
• Riesz fractional integrals in grand Lebesgue spaces on \(\mathbb{R}^{n}\)
• COMPLETENESS THEOREMS IN THE UNIFORM NORM CONNECTED TO ELLIPTIC EQUATIONS OF HIGHER ORDER WITH CONSTANT COEFFICIENTS
• A Theorem on the Surface Traction Field in Potential Representations of Stokes Flow
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