Boundary Value Problems with Global Projection Conditions

Name: Boundary Value Problems with Global Projection Conditions
SKU: 27196837
Price: 265.99 AUD
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Hardback

Series:

Advances in Partial Differential Equations

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Description

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.

Release date Australia

November 8th, 2018

Author

Audience

Professional & Vocational

Edition

1st ed. 2018

Illustrations

XVI, 410 p.

Pages

410

Series

Advances in Partial Differential Equations

ISBN-13

9783319701134

Product ID

27196837

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