Stochastic Equations in Infinite Dimensions (Encyclopedia of Mathematics and its Applications, Series Number 45),Used

Stochastic Equations in Infinite Dimensions (Encyclopedia of Mathematics and its Applications, Series Number 45),Used

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Brand: Cambridge University Press
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The aim of this book is to give a systematic and selfcontained presentation of the basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. These are a generalization of stochastic differential equations as introduced by It and Gikhman that occur, for instance, when describing random phenomena that crop up in science and engineering, as well as in the study of differential equations. The book is divided into three parts. In the first the authors give a selfcontained exposition of the basic properties of probability measures 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.

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