Global Pseudo-differential Calculus on Euclidean Spaces: 4 (Pseudo-Differential Operators) - Softcover

Nicola, Fabio; Rodino, Luigi

 
9783764385118: Global Pseudo-differential Calculus on Euclidean Spaces: 4 (Pseudo-Differential Operators)
Softcover
ISBN 10: 3764385111 ISBN 13: 9783764385118
Verlag: Birkhäuser, 2010

Inhaltsangabe

This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3764385111
ISBN 13 
9783764385118
Einband
Tapa blanda
Anzahl der Seiten
306
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9783764394516: Global Pseudo-differential Calculus on Euclidean Spaces

Vorgestellte Ausgabe

ISBN 10:  376439451X ISBN 13:  9783764394516
Verlag: Birkhäuser, 2011
Softcover