Stochastic Equations in Infinite Dimensions /
Da Prato, Giuseppe,
Stochastic Equations in Infinite Dimensions / Giuseppe Da Prato, Jerzy Zabczyk. - 2nd ed. - 1 online resource (512 pages) : digital, PDF file(s). - Encyclopedia of Mathematics and its Applications ; 152 . - Encyclopedia of Mathematics and its Applications ; 152. .
Title from publisher's bibliographic system (viewed on 04 Apr 2016).
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.
9781107295513 (ebook)
Stochastic partial differential equations
QA274.25 / .D4 2014
519.2/2
Stochastic Equations in Infinite Dimensions / Giuseppe Da Prato, Jerzy Zabczyk. - 2nd ed. - 1 online resource (512 pages) : digital, PDF file(s). - Encyclopedia of Mathematics and its Applications ; 152 . - Encyclopedia of Mathematics and its Applications ; 152. .
Title from publisher's bibliographic system (viewed on 04 Apr 2016).
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.
9781107295513 (ebook)
Stochastic partial differential equations
QA274.25 / .D4 2014
519.2/2