{"product_id":"second-order-partial-differential-equations-in-hilbert-spaces-paperback-9780521777292","title":"Second Order Partial Differential Equations in Hilbert Spaces (Paperback) 9780521777292","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSecond Order Partial Differential Equations in Hilbert Spaces\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eState of the art treatment of the subject with background and references for further reading.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGiuseppe Da Prato (Author), Jerzy Zabczyk (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521777292, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 July 2002\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e396 pages\u003cbr\u003e22.9 x 15.2 x 2.2 cm, 0.58 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… 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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSecond 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Theory in the Space of Continuous Functions: 1. Gaussian measures\u003cbr\u003e 2. Spaces of continuous functions\u003cbr\u003e 3. Heat equation\u003cbr\u003e 4. Poisson's equation\u003cbr\u003e 5. Elliptic equations with variable coefficients\u003cbr\u003e 6.  Ornstein-Uhlenbeck equations\u003cbr\u003e 7. General parabolic equations\u003cbr\u003e 8. Parabolic equations in open sets\u003cbr\u003e Part II. Theory in Sobolev Spaces with a Gaussian Measure: 9. L2 and Sobolev spaces\u003cbr\u003e 10. Ornstein-Uhlenbeck semigroups on Lp(H, mu)\u003cbr\u003e 11. Perturbations of Ornstein-Uhlenbeck semigroups\u003cbr\u003e 12. Gradient systems\u003cbr\u003e Part II. Applications to Control Theory: 13. Second order Hamilton-Jacobi equations\u003cbr\u003e 14. Hamilton-Jacobi inclusions.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265072288024,"sku":"9780521777292","price":61.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521777292i.jpg?v=1692019220","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/second-order-partial-differential-equations-in-hilbert-spaces-paperback-9780521777292","provider":"Freshly Printed Books","version":"1.0","type":"link"}