Boundary Value Problems with Global Projection Conditions
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 th...
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| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
|
| Vydání: | 1st ed. 2018. |
| Edice: | Advances in Partial Differential Equations,
265 |
| Témata: | |
| ISBN: | 9783319701141 |
| ISSN: | 2504-3587 ; |
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| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 003 | SK-BrCVT | ||
| 005 | 20220618115500.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 181030s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319701141 | ||
| 024 | 7 | |a 10.1007/978-3-319-70114-1 |2 doi | |
| 035 | |a CVTIDW07377 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Liu, Xiaochun. |4 aut | |
| 245 | 1 | 0 | |a Boundary Value Problems with Global Projection Conditions |h [electronic resource] / |c by Xiaochun Liu, Bert-Wolfgang Schulze. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XVI, 410 p. |b online resource. | ||
| 490 | 1 | |a Advances in Partial Differential Equations, |x 2504-3587 ; |v 265 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a Introduction -- Boundary Value Problems with Global Projection Conditions -- Edge Operators with Global Projection Conditions -- BVPs without the Transmission Property. | |
| 516 | |a text file PDF | ||
| 520 | |a 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. | ||
| 650 | 0 | |a Partial differential equations. | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 0 | |a Operator theory. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-70114-1 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE04657 | ||
| 919 | |a 978-3-319-70114-1 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 273309 |d 273309 | ||