Classes of finite solutions to the inverse problem of the logarithmic potential

DOI10.1134/S1995080218020026zbMath1398.31002OpenAlexW2802651136WikidataQ129918454 ScholiaQ129918454MaRDI QIDQ1646265

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

Publication date: 25 June 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218020026

zbMATH Keywords

inverse problemlogarithmic potential

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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New type super singular integro-differential equation and its conjugate equation ⋮ Mellin transform and integro-differential equations with logarithmic singularity in the kernel ⋮ On capabilities of Schwarz function in the problems of logarithmic potential ⋮ Direct and inverse problems for the simple layer logarithmic potential ⋮ On direct and inverse problems of logarithmic potential with finite number of parameters ⋮ Solvability and invertibility of the problems of logarithmic potential

Cites Work

• Finite solutions to the inverse problem of the logarithmic potential
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