Mixed type boundary value problems for Laplace-Beltrami equation on a surface with the Lipschitz boundary

DOI10.1515/gmj-2020-2074zbMath1466.35145OpenAlexW3071200863MaRDI QIDQ2021435

Roland Duduchava

Publication date: 27 April 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2020-2074

zbMATH Keywords

surfaceDirichlet problemboundary integral equationmixed problemNeumann problempotential methodunique solvabilityBessel potential spaceLipschitz boundaryangular domainFredholm criteriaMellin convolution equationmodel BVP

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Laplace-Beltrami equation on a hypersurface with Lipschitz boundary

Cites Work

• Mellin convolution operators in Bessel potential spaces
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• The Helmholtz equation in the exterior of slits in a plane with different impedance boundary conditions on opposite sides of the slits
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• The Green formula and layer potentials
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