Strongly Elliptic Second Order Systems with Spectral Parameter in Transmission Conditions on a Nonclosed Surface

DOI10.1007/3-7643-7514-0_1zbMath1161.35453OpenAlexW39617554MaRDI QIDQ5474750

M. S. Agranovich

Publication date: 26 June 2006

Published in: Pseudo-Differential Operators and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-7643-7514-0_1

zbMATH Keywords

variational approachsurface potentialWiener-Hopf methodtransmission conditionLipschitz surfacespectral equationStrong ellipticity

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Variational methods for elliptic systems (35J50) General theory of partial differential operators (47F05)

Related Items (11)

\(L^p\)-theory of boundary integral operators for domains with unbounded smooth boundary ⋮ On a mixed Poincaré-Steklov type spectral problem in a Lipschitz domain ⋮ Potential type operators and transmission problems for strongly elliptic second-order systems in Lipschitz domains ⋮ Strongly elliptic second-order systems with boundary conditions on a nonclosed Lipschitz surface ⋮ Regularity of variational solutions to linear boundary value problems in Lipschitz domains ⋮ Inverse wave scattering in the Laplace domain: A factorization method approach ⋮ Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces ⋮ Remarks on potential spaces and Besov spaces in a Lipschitz domain and on Whitney arrays on its boundary ⋮ On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity ⋮ On Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary Conditions ⋮ Integral equations of diffraction problems with unbounded smooth obstacles

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