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Non-autonomous Kato Classes and Feynman-kac Propagators PDF

359 Pages·2006·11.702 MB·English
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by Archil Gulisashvili, Jan A van Casteren| 2006| 359 pages| 11.702| English

About Non-autonomous Kato Classes and Feynman-kac Propagators

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.

Detailed Information

Author:Archil Gulisashvili, Jan A van Casteren
Publication Year:2006
ISBN:9789812774606
Pages:359
Language:English
File Size:11.702
Format:PDF
Price:FREE
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