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Record Nr. |
UNINA9910300140903321 |
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Autore |
Liu Xiaochun (Mathematician) |
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Titolo |
Boundary Value Problems with Global Projection Conditions [[electronic resource] /] / by Xiaochun Liu, Bert-Wolfgang Schulze |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (421 pages) |
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Collana |
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Advances in Partial Differential Equations, , 2504-3587 ; ; 265 |
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Disciplina |
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Soggetti |
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Partial differential equations |
Global analysis (Mathematics) |
Manifolds (Mathematics) |
Operator theory |
Partial Differential Equations |
Global Analysis and Analysis on Manifolds |
Operator Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Introduction -- Boundary Value Problems with Global Projection Conditions -- Edge Operators with Global Projection Conditions -- BVPs without the Transmission Property. |
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Sommario/riassunto |
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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 |
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