Reduction of an infinite system of integral equations of potential type on a one-dimensional lattice of closed curves in the plane to a finite system of independent pseudodifferential equations on a circle

DOI10.1216/JIEA/1181075849zbMath0832.45002OpenAlexW2048309038MaRDI QIDQ1900688

Valery A. Kholodnyi

Publication date: 26 November 1995

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075849

zbMATH Keywords

Dirichlet problemHelmholtz equationpseudodifferential equationsSobolev scaleinfinite system of integral equationsintegral equations of potential type

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (1)

Reduction of an infinite system of integrodifferential equations for electric currents on a lattice of closed curves to a finite system of independent pseudodifferential equations on a circle

Cites Work

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