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010   $a3-319-70114-2
024 7 $a10.1007/978-3-319-70114-1
035   $a(CKB)4100000007110596
035   $a(MiAaPQ)EBC5625469
035   $a(DE-He213)978-3-319-70114-1
035   $a(PPN)231461267
035   $a(EXLCZ)994100000007110596
100   $a20181030d2018      u|             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aBoundary Value Problems with Global Projection Conditions$b[electronic resource] /$fby Xiaochun Liu, Bert-Wolfgang Schulze
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018.
215   $a1 online resource (421 pages)
225 1 $aAdvances in Partial Differential Equations,$x2504-3587 ;$v265
311   $a3-319-70113-4 
327   $aIntroduction -- Boundary Value Problems with Global Projection Conditions -- Edge Operators with Global Projection Conditions -- BVPs without the Transmission Property.
330   $aThis book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel?s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calderón-Seeley projections and the characterization of Cauchy data spaces.
410  0$aAdvances in Partial Differential Equations,$x2504-3587 ;$v265
606   $aPartial differential equations
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aOperator theory
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aPartial differential equations.
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615  0$aOperator theory.
615 14$aPartial Differential Equations.
615 24$aGlobal Analysis and Analysis on Manifolds.
615 24$aOperator Theory.
676   $a515.35
700   $aLiu$b Xiaochun$c(Mathematician),$01350904
702   $aSchulze$b Bert-Wolfgang$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300140903321
996   $aBoundary Value Problems with Global Projection Conditions$93090119
997   $aUNINA