Non-autonomous Kato Classes and Feynman-kac Propagators - Couverture rigide

Gulisashvili, Archil; Van Casteren, Jan A

Couverture rigide

ISBN 10 : 9812565574 ISBN 13 : 9789812565570

Editeur : World Scientific Publishing Co Pte Ltd, 2006

Synopsis

This book provides an introduction to propagator theory. Propagators, or evolution families, are two-parameter analogues of semigroups of operators. Propagators are encountered in analysis, mathematical physics, partial differential equations, and probability theory. They are often used as mathematical models of systems evolving in a changing environment. A unifying theme of the book is the theory of Feynman-Kac propagators associated with time-dependent measures from non-autonomous Kato classes. In applications, a Feynman-Kac propagator describes the evolution of a physical system in the presence of time-dependent absorption and excitation. The book is suitable as an advanced textbook for graduate courses.

A propos du livre

Présentation de l'éditeur

“This book is a very welcome contribution to the growing literature on this fascinating field . . . It is clearly written and therefore accessible to graduate students and researchers with a solid background in analysis . . . It will certainly attract many new researchers to a field which had, curiously, a very slow start but seems now ready to reach its maturity, both on the theoretical and applied sides.” Mathematical Reviews This book provides an introduction to propagator theory. Propagators, or evolution families, are two-parameter analogues of semigroups of operators. Propagators are encountered in analysis, mathematical physics, partial differential equations, and probability theory. They are often used as mathematical models of systems evolving in a changing environment. A unifying theme of the book is the theory of Feynman-Kac propagators associated with time-dependent measures from non-autonomous Kato classes. In applications, a Feynman-Kac propagator describes the evolution of a physical system in the presence of time-dependent absorption and excitation. The book is suitable as an advanced textbook for graduate courses.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 9812565574
• ISBN 13: 9789812565570
• Reliure: Relié
• Nombre de pages: 360
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible