Direct and inverse problems for the simple layer logarithmic potential

DOI10.3103/S1066369X20110018zbMath1468.30060OpenAlexW3117370462MaRDI QIDQ2027897

N. R. Abubakirov, L. A. Aksent'ev

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20110018

zbMATH Keywords

convexityCauchy-type integralstar-likenesssimple layer logarithmic potential

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (2)

Geometric properties of integral representations in the inverse problem of a simple layer potential ⋮ Solvability and invertibility of the problems of logarithmic potential

Cites Work

• Classes of finite solutions to the inverse problem of the logarithmic potential
• On direct and inverse problems of logarithmic potential with finite number of parameters
• On capabilities of Schwarz function in the problems of logarithmic potential
• Finite solutions to the inverse problem of the logarithmic potential
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