Solvability and invertibility of the problems of logarithmic potential

DOI10.1134/S1995080222110026zbMath1504.31001OpenAlexW4312663965MaRDI QIDQ2107860

M. Yu. Denisova, N. R. Abubakirov

Publication date: 5 December 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222110026

zbMATH Keywords

inverse problemslogarithmic simple layer potential

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Cites Work

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• 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
• Direct and inverse problems for the simple layer logarithmic potential
• Geometric properties of integral representations in the inverse problem of a simple layer potential
• Finite solutions to the inverse problem of the logarithmic potential

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