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Boundary Value Problems with Global Projection Conditions: 265 (Operator Theory: Advances and Applications, 265) - Tapa dura

Libro 116 de 132: Operator Theory: Advances and Applications

Liu, Xiaochun; Schulze, Bert-Wolfgang

 
9783319701134: Boundary Value Problems with Global Projection Conditions: 265 (Operator Theory: Advances and Applications, 265)
Tapa dura
ISBN 10: 3319701134 ISBN 13: 9783319701134
Editorial: Birkhäuser, 2018

Sinopsis

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.


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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3319701134
ISBN 13 
9783319701134
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
428
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