Second Order Partial Differential Equations in Hilbert Spaces (London Mathematical Society Lecture Note Series) (Volume 293)

Da Prato, G

ISBN 10: 0521777291 / ISBN 13: 9780521777292

Published by Cambridge University Press, 2002

About this Item

Volume 293. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9780521777292. Seller Inventory # 7098892

Bibliographic Details

Title: Second Order Partial Differential Equations ...

Publisher: Cambridge University Press

Publication Date: 2002

Binding: Soft cover

Condition: Good

About this title

Synopsis:

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.

Review:

'... can be warmly recommended to anyone interested in the field.' European Mathematical Society Newsletter

'... the authors five an almost optimal presentation: making the central ideas clear, not hiding the problems and the technical efforts needed to overcome them, and discussing in an appropriate way relations to existing work. ... it will be of enormous help to experts of PhD students starting to work in the field. The LMS Lecture Note Series has the aim of providing 'volumes [that] are short monographs giving authoritative accounts of the present state of knowledge on a topic of general interest'. The authors have done a fine job, and have successfully achieved this goal.' Niels Jacob, University of Wales, Swansea