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Bibliographic Details

Title: Pseudo-Differential Operators on Manifolds with Singularities (Volume 24) (Studies in Mathematics and its Applications, Volume 24)
Publisher: North Holland
Publication Date: 1991
Language: English
ISBN 10: 0444881379
ISBN 13: 9780444881373
Binding: Hardcover
Condition: Good

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Synopsis

The analysis of differential equations in domains and on manifolds with singularities belongs to the main streams of recent developments in applied and pure mathematics. The applications and concrete models from engineering and physics are often classical but the modern structure calculus was only possible since the achievements of pseudo-differential operators. This led to deep connections with index theory, topology and mathematical physics.The present book is devoted to elliptic partial differential equations in the framework of pseudo-differential operators. The first chapter contains the Mellin pseudo-differential calculus on R+ and the functional analysis of weighted Sobolev spaces with discrete and continuous asymptotics. Chapter 2 is devoted to the analogous theory on manifolds with conical singularities, Chapter 3 to manifolds with edges. Employed are pseudo-differential operators along edges with cone-operator-valued symbols.

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