Titlebook: Boundary Value Problems with Global Projection Conditions; Xiaochun Liu,Bert-Wolfgang Schulze Book 2018 Springer Nature Switzerland AG 201

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Pseudo-differential operatorsWe first outline some notation and well-known material on standard pseudodifferential operators. Proofs, as far as they are skipped here, can be found in textbooks on the pseudo-differential calculus.

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BVPs with the transmission propertyLet us first give a motivation for the transmission property of a symbol at the boundary. Given a smooth manifold . of dimension . with boundary ., we can form the double .; which is an open manifold obtained by gluing together two copies . of . along the common boundary (here we identify . with ., the plus side).

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The edge algebraLet . be a smooth closed manifold. The wedge . for any open . is an example of a manifold with edge Ω.

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Toeplitz edge problemsLet . be a compact manifold with edge ..

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