On solution to the problem of logarithmic potential and the problem of simple layer potential with different density classes

DOI10.1134/S1995080224602911MaRDI QIDQ6649025

M. Yu. Denisova, N. R. Abubakirov

Publication date: 5 December 2024

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

zbMATH Keywords

logarithmic potentialsimple layer potentialintegral of Cauchy-type

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25)

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
• 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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