Non-Autonomous Kato Classes and Feynman-Kac Propagators |
|
Author:
| Gulisashvili, Archil Van Casteren, Jan A. |
ISBN: | 978-981-277-460-6 |
Publication Date: | Jul 2006 |
Publisher: | World Scientific Publishing Co Pte Ltd
|
Book Format: | Digital (delivered electronically) |
List Price: | USD $176.00 |
Book Description:
|
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...
More DescriptionThis 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.