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Here fundamental results like the theorems of  Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas'minski are proved. The last chapter is devoted to gradient systems and their asymptotic behavior.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49950343430417,"sku":"CIN3540290206G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52128755548433,"sku":"NLS9783540290209","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52761649053969,"sku":"NIN9783540290209","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3540290206.jpg?v=1751416724"},{"product_id":"control-of-partial-differential-equations-book-giuseppe-da-prato-9780824792404","title":"Control of Partial Differential Equations","description":"This useful reference provides recent results as well as entirely new material on control problems for partial differential equations.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52127139037457,"sku":"NLS9780824792404","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53081791987985,"sku":"NIN9780824792404","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780824792404.jpg?v=1757483417"},{"product_id":"functional-analytic-methods-for-evolution-equations-book-giuseppe-da-prato-9783540230304","title":"Functional Analytic Methods for Evolution Equations","description":"This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52131462578449,"sku":"NLS9783540230304","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540230304.jpg?v=1757510350"},{"product_id":"second-order-partial-differential-equations-in-hilbert-spaces-book-giuseppe-da-prato-9780521777292","title":"Second Order Partial Differential Equations in Hilbert Spaces","description":"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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52143551906065,"sku":"NLS9780521777292","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521777292.jpg?v=1757584992"},{"product_id":"stochastic-partial-differential-equations-and-applications-book-giuseppe-da-prato-9783540172116","title":"Stochastic Partial Differential Equations and Applications","description":"Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field. Stochastic Partial Differential Equations and Applications analyzes recent developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. It presents precise conditions for nontrivial and well-defined scattering, new Gaussian noise terms, models depicting the asymptotic behavior of evolution equations, and solutions to filtering dilemmas in signal processing. With contributions from more than 40 leading experts in the field, Stochastic Partial Differential Equations and Applications is an excellent resource for pure and applied mathematicians; numerical analysts; mathematical physicists; geometers; economists; probabilists; computer scientists; control, electrical, and electronics engineers; and upper-level undergraduate and graduate students in these disciplines.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52145824891153,"sku":"NLS9783540172116","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540172116.jpg?v=1757595310"},{"product_id":"stochastic-partial-differential-equations-and-applications-ii-book-giuseppe-da-prato-9783540515104","title":"Stochastic Partial Differential Equations and Applications II","description":"Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field. Stochastic Partial Differential Equations and Applications analyzes recent developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. It presents precise conditions for nontrivial and well-defined scattering, new Gaussian noise terms, models depicting the asymptotic behavior of evolution equations, and solutions to filtering dilemmas in signal processing. With contributions from more than 40 leading experts in the field, Stochastic Partial Differential Equations and Applications is an excellent resource for pure and applied mathematicians; numerical analysts; mathematical physicists; geometers; economists; probabilists; computer scientists; control, electrical, and electronics engineers; and upper-level undergraduate and graduate students in these disciplines.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52146434244881,"sku":"NLS9783540515104","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540515104.jpg?v=1757597665"},{"product_id":"kolmogorov-equations-for-stochastic-pdes-book-giuseppe-da-prato-9783764372163","title":"Kolmogorov Equations for Stochastic PDEs","description":"This textbook gives an introduction to stochastic partial differential equations such as reaction-diffusion, Burgers and 2D Navier-Stokes equations, perturbed by noise. Several properties of corresponding transition semigroups are studied, such as Feller and strong Feller properties, irreducibility, existence and uniqueness of invariantg measures. Moreover, the transition semigroups are interpreted as generalized solutions of Kologorov equations. The prerequisites are basic probability (including finite dimemsional stochastic differential equations), basic functional analysis and some elements of the theory of partial differential equations.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52150765781265,"sku":"NLS9783764372163","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764372163.jpg?v=1757611131"},{"product_id":"stochastic-equations-in-infinite-dimensions-book-giuseppe-da-prato-9781107055841","title":"Stochastic Equations in Infinite Dimensions","description":"Now in its second edition, this book gives a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. In the first part the authors give a self-contained exposition of the basic properties of probability measure on separable Banach and Hilbert spaces, as required later; they assume a reasonable background in probability theory and finite dimensional stochastic processes. The second part is devoted to the existence and uniqueness of solutions of a general stochastic evolution equation, and the third concerns the qualitative properties of those solutions. Appendices gather together background results from analysis that are otherwise hard to find under one roof. This revised edition includes two brand new chapters surveying recent developments in the area and an even more comprehensive bibliography, making this book an essential and up-to-date resource for all those working in stochastic differential equations.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52350502011153,"sku":"NLS9781107055841","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52744787951889,"sku":"NIN9781107055841","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781107055841.jpg?v=1758180211"},{"product_id":"partial-differential-equation-methods-in-control-and-shape-analysis-book-giuseppe-da-prato-9780824798376","title":"partial differential equation methods in control and shape analysis","description":"Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52430737277201,"sku":"NLS9780824798376","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53081796575505,"sku":"NIN9780824798376","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780824798376.jpg?v=1759170535"},{"product_id":"introduction-to-infinite-dimensional-analysis-book-giuseppe-da-prato-9783642421686","title":"An Introduction to Infinite-Dimensional Analysis","description":"Based on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. 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