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Second Order Partial Differential Equations in Hilbert Spaces (London Mathematical Society Lecture Note Series, Series Number 293) - Softcover

 
9780521777292: Second Order Partial Differential Equations in Hilbert Spaces (London Mathematical Society Lecture Note Series, Series Number 293)

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Second order linear parabolic and elliptic equations arise frequently in mathematical physics, biology and finance. Here the authors present a state of the art treatment of the subject from a new perspective. They then go on to discuss how the results in the book can be applied to control theory. This area is developing rapidly and there are numerous notes and references that point the reader to more specialized results not covered in the book. Coverage of some essential background material helps to make the book self contained.

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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

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Da Prato, G
Published by Cambridge University Press, 2002
ISBN 10: 0521777291 ISBN 13: 9780521777292
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Condition: Good. 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

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Da Prato, Giuseppe; Zabczyk, Jerzy
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ISBN 10: 0521777291 ISBN 13: 9780521777292
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Paperback. Condition: new. Paperback. Second order linear parabolic and elliptic equations arise frequently in mathematical physics, biology and finance. Here the authors present a state of the art treatment of the subject from a new perspective. They then go on to discuss how the results in the book can be applied to control theory. This area is developing rapidly and there are numerous notes and references that point the reader to more specialized results not covered in the book. Coverage of some essential background material helps to make the book self contained. 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 counterpart 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 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521777292

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Zabczyk Jerzy Prato Giuseppe Da Da Prato Giuseppe
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