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Boundary value problems and Markov p...

Taira, Kazuaki.

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Boundary value problems and Markov processes = functional analysis methods for Markov processes /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Boundary value problems and Markov processes/ by Kazuaki Taira.
Reminder of title:	functional analysis methods for Markov processes /
Author:	Taira, Kazuaki.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xvii, 502 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Boundary value problems. -
Online resource:	https://doi.org/10.1007/978-3-030-48788-1
ISBN:	9783030487881

Boundary value problems and Markov processes = functional analysis methods for Markov processes /
Taira, Kazuaki.

Boundary value problems and Markov processesfunctional analysis methods for Markov processes /[electronic resource] :by Kazuaki Taira. - Third edition. - Cham :Springer International Publishing :2020. - xvii, 502 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.14990075-8434 ;. - Lecture notes in mathematics ;v.1499..

This 3rd edition provides an insight into the mathematical crossroads formed by functional analysis (the macroscopic approach), partial differential equations (the mesoscopic approach) and probability (the microscopic approach) via the mathematics needed for the hard parts of Markov processes. It brings these three fields of analysis together, providing a comprehensive study of Markov processes from a broad perspective. The material is carefully and effectively explained, resulting in a surprisingly readable account of the subject. The main focus is on a powerful method for future research in elliptic boundary value problems and Markov processes via semigroups, the Boutet de Monvel calculus. A broad spectrum of readers will easily appreciate the stochastic intuition that this edition conveys. In fact, the book will provide a solid foundation for both researchers and graduate students in pure and applied mathematics interested in functional analysis, partial differential equations, Markov processes and the theory of pseudo-differential operators, a modern version of the classical potential theory.

ISBN: 9783030487881

Standard No.: 10.1007/978-3-030-48788-1doiSubjects--Topical Terms:

527599
Boundary value problems.

LC Class. No.: QA379 / .T35 2020

Dewey Class. No.: 515.35

Boundary value problems and Markov processes = functional analysis methods for Markov processes /
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245 1 0 $a Boundary value problems and Markov processes $h [electronic resource] : $b functional analysis methods for Markov processes / $c by Kazuaki Taira.
250 $a Third edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xvii, 502 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v v.1499
520 $a This 3rd edition provides an insight into the mathematical crossroads formed by functional analysis (the macroscopic approach), partial differential equations (the mesoscopic approach) and probability (the microscopic approach) via the mathematics needed for the hard parts of Markov processes. It brings these three fields of analysis together, providing a comprehensive study of Markov processes from a broad perspective. The material is carefully and effectively explained, resulting in a surprisingly readable account of the subject. The main focus is on a powerful method for future research in elliptic boundary value problems and Markov processes via semigroups, the Boutet de Monvel calculus. A broad spectrum of readers will easily appreciate the stochastic intuition that this edition conveys. In fact, the book will provide a solid foundation for both researchers and graduate students in pure and applied mathematics interested in functional analysis, partial differential equations, Markov processes and the theory of pseudo-differential operators, a modern version of the classical potential theory.
650 0 $a Boundary value problems. $3 527599
650 0 $a Differential equations, Elliptic. $3 541859
650 0 $a Markov processes. $3 532104
650 1 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Analysis. $3 891106
650 2 4 $a Operator Theory. $3 897311
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950 $a Mathematics and Statistics (SpringerNature-11649)