Spectral boundary value problems for the Helmholtz equation with spectral parameter in boundary conditions on a non-smooth surface
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Publication:4256981
DOI10.1070/SM1999v190n01ABEH000377zbMath0937.35026OpenAlexW2006860381MaRDI QIDQ4256981
M. S. Agranovich, Reinhard Mennicken
Publication date: 3 August 1999
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1999v190n01abeh000377
Spectral theory and eigenvalue problems for partial differential equations (35P99) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Special framed Morse functions on surfaces ⋮ Potential type operators and transmission problems for strongly elliptic second-order systems in Lipschitz domains ⋮ Unnamed Item ⋮ Spectral and initial-boundary conjugation problems ⋮ Multicomponent conjugation problems and auxiliary abstract boundary-value problems ⋮ Estimates of \(s\)-numbers and spectral asymptotics for integral operators of potential type on nonsmooth surfaces ⋮ Boundary-value problems for the Helmholtz equation for a half-plane with a Lipschitz inclusion ⋮ Abstract mixed boundary-value and spectral conjugation problems and their applications
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