03336nam 22005655 450 991030014090332120230428190323.03-319-70114-210.1007/978-3-319-70114-1(CKB)4100000007110596(MiAaPQ)EBC5625469(DE-He213)978-3-319-70114-1(PPN)231461267(EXLCZ)99410000000711059620181030d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierBoundary Value Problems with Global Projection Conditions[electronic resource] /by Xiaochun Liu, Bert-Wolfgang Schulze1st ed. 2018.Cham :Springer International Publishing :Imprint: Birkhäuser,2018.1 online resource (421 pages)Advances in Partial Differential Equations,2504-3587 ;2653-319-70113-4 Introduction -- Boundary Value Problems with Global Projection Conditions -- Edge Operators with Global Projection Conditions -- BVPs without the Transmission Property.This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.Advances in Partial Differential Equations,2504-3587 ;265Partial differential equationsGlobal analysis (Mathematics)Manifolds (Mathematics)Operator theoryPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Partial differential equations.Global analysis (Mathematics).Manifolds (Mathematics).Operator theory.Partial Differential Equations.Global Analysis and Analysis on Manifolds.Operator Theory.515.35Liu Xiaochun(Mathematician),1350904Schulze Bert-Wolfgangauthttp://id.loc.gov/vocabulary/relators/autBOOK9910300140903321Boundary Value Problems with Global Projection Conditions3090119UNINA