Semi-classical Analysis for Nonlinear Schrödinger Equations: Wkb Analysis, Focal Points, Coherent States - Couverture rigide

Carles, Rémi

Couverture rigide

ISBN 10 : 981122790X ISBN 13 : 9789811227905

Editeur : World Scientific Publishing Co Pte Ltd, 2020

Synopsis

The second edition of this book consists of three parts. The first one is dedicated to the WKB methods and the semi-classical limit before the formation of caustics. The second part treats the semi-classical limit in the presence of caustics, in the special geometric case where the caustic is reduced to a point (or to several isolated points). The third part is new in this edition, and addresses the nonlinear propagation of coherent states. The three parts are essentially independent.Compared with the first edition, the first part is enriched by a new section on multiphase expansions in the case of weakly nonlinear geometric optics, and an application related to this study, concerning instability results for nonlinear Schrödinger equations in negative order Sobolev spaces.The third part is an overview of results concerning nonlinear effects in the propagation of coherent states, in the case of a power nonlinearity, and in the richer case of Hartree-like nonlinearities. It includes explicit formulas of an independent interest, such as generalized Mehler's formula, generalized lens transform.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2020
• Langue: anglais
• ISBN 10: 981122790X
• ISBN 13: 9789811227905
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 360
• Coordonnées du fabricant: non disponible
• Personne responsable: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Allemagne