Second order partial differential equations in Hilbert spaces / (Record no. 518416)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03902nam a22003738i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511543210 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160240.0 |
| 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 | 090505s2002||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511543210 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521777292 (paperback) |
| 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 | QA374 |
| Item number | .D27 2002 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.353 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Da Prato, Giuseppe, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Second order partial differential equations in Hilbert spaces / |
| Statement of responsibility, etc | Giuseppe Da Prato, Jerzy 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 | 2002. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xvi, 379 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 | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 293 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Theory in Spaces of Continuous Functions -- |
| -- | Gaussian measures -- |
| -- | Introduction and preliminaries -- |
| -- | Definition and first properties of Gaussian measures -- |
| -- | Measures in metric spaces -- |
| -- | Gaussian measures -- |
| -- | Computation of some Gaussian integrals -- |
| -- | The reproducing kernel -- |
| -- | Absolute continuity of Gaussian measures -- |
| -- | Equivalence of product measures in R[superscript [infinity] -- |
| -- | The Cameron-Martin formula -- |
| -- | The Feldman-Hajek theorem -- |
| -- | Brownian motion -- |
| -- | Spaces of continuous functions -- |
| -- | Preliminary results -- |
| -- | Approximation of continuous functions -- |
| -- | Interpolation spaces -- |
| -- | Interpolation between UC[subscript b](H) and UC[superscript 1 subscript b](H) -- |
| -- | Interpolatory estimates -- |
| -- | Additional interpolation results -- |
| -- | The heat equation -- |
| -- | Strict solutions -- |
| -- | Regularity of generalized solutions -- |
| -- | Q-derivatives -- |
| -- | Q-derivatives of generalized solutions -- |
| -- | Comments on the Gross Laplacian -- |
| -- | The heat semigroup and its generator -- |
| -- | Poisson's equation -- |
| -- | Existence and uniqueness results -- |
| -- | Regularity of solutions -- |
| -- | The equation [Delta subscript Q]u = g -- |
| -- | The Liouville theorem -- |
| -- | Elliptic equations with variable coefficients -- |
| -- | Small perturbations -- |
| -- | Large perturbations -- |
| -- | Ornstein-Uhlenbeck equations -- |
| -- | Existence and uniqueness of strict solutions -- |
| -- | Classical solutions -- |
| -- | The Ornstein-Uhlenbeck semigroup -- |
| -- | [pi]-Convergence -- |
| -- | Properties of the [pi]-semigroup (R[subscript t]) -- |
| -- | The infinitesimal generator -- |
| -- | Elliptic equations -- |
| -- | Schauder estimates -- |
| -- | The Liouville theorem -- |
| -- | Perturbation results for parabolic equations. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Second order linear parabolic and elliptic equations arise frequently in mathematics and other disciplines. For example parabolic equations are to be found in statistical mechanics and solid state theory, their infinite dimensional counterparts are important in fluid mechanics, mathematical finance and population biology, whereas nonlinear parabolic equations arise in control theory. Here the authors present a state of the art treatment of the subject from a new perspective. The main tools used are probability measures in Hilbert and Banach spaces and stochastic evolution equations. There is then a discussion of how the results in the book can be applied to control theory. This area is developing very rapidly and there are numerous notes and references that point the reader to more specialised results not covered in the book. Coverage of some essential background material will help make the book self-contained and increase its appeal to those entering the subject. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations, Partial. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Hilbert space. |
| 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 | 9780521777292 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 293. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511543210">https://doi.org/10.1017/CBO9780511543210</a> |
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