National Science Library of Georgia

Stochastic partial differential equations with Lévy noise : (Record no. 518189)

MARC details
000 -LEADER
fixed length control field 03287nam a22003738i 4500
001 - CONTROL NUMBER
control field CR9780511721373
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160237.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100303s2007||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511721373 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521879897 (hardback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA274.25
Item number .P47 2007
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Peszat, S.,
Relator term author.
245 10 - TITLE STATEMENT
Title Stochastic partial differential equations with Lévy noise :
Remainder of title an evolution equation approach /
Statement of responsibility, etc S. Peszat and J. Zabczyk.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2007.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xii, 419 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Encyclopedia of mathematics and its applications ;
Volume number/sequential designation volume 113
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Why equations with Levy noise? -- 2. Analytic preliminaries -- 3. Probabilistic preliminaries -- 4. Levy processes -- 5. Levy semigroups -- 6. Poisson random measures -- 7. Cylindrical processes and reproducing kernels -- 8. Stochastic integration -- 9. General existence and uniqueness results -- 10. Equations with non-Lipschitz coefficients -- 11. Factorization and regularity -- 12. Stochastic parabolic problems -- 13. Wave and delay equations -- 14. Equations driven by a spatially homogeneous noise -- 15. Equations with noise on the boundary -- 16. Invariant measures -- 17. Lattice systems -- 18. Stochastic Burgers equation -- 19. Environmental pollution model -- 20. Bond market models -- App. A. Operators on Hilbert spaces -- App. B. Co-semigroups -- App. C. Regularization of Markov processes -- App. D. Ito formulae -- App. E. Levy-Khinchin formula on [0, + [infinity]) -- App. F. Proof of Lemma 4.24.
520 ## - SUMMARY, ETC.
Summary, etc Recent years have seen an explosion of interest in stochastic partial differential equations where the driving noise is discontinuous. In this comprehensive monograph, two leading experts detail the evolution equation approach to their solution. Most of the results appeared here for the first time in book form. The authors start with a detailed analysis of Lévy processes in infinite dimensions and their reproducing kernel Hilbert spaces; cylindrical Lévy processes are constructed in terms of Poisson random measures; stochastic integrals are introduced. Stochastic parabolic and hyperbolic equations on domains of arbitrary dimensions are studied, and applications to statistical and fluid mechanics and to finance are also investigated. Ideal for researchers and graduate students in stochastic processes and partial differential equations, this self-contained text will also interest those working on stochastic modeling in finance, statistical physics and environmental science.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Stochastic partial differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lévy processes.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zabczyk, Jerzy,
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521879897
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Encyclopedia of mathematics and its applications ;
Volume number/sequential designation v. 113.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511721373">https://doi.org/10.1017/CBO9780511721373</a>

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