Second Order Partial Differential Equations in Hilbert Spaces

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Focusing on second order linear parabolic and elliptic equations, this book presents a contemporary approach using probability measures in Hilbert and Banach spaces, along with stochastic evolution equations. It explores applications in various fields such as statistical mechanics, fluid mechanics, and control theory, highlighting the rapid development in these areas. The authors provide essential background material and numerous references for further study, making the book accessible to newcomers while offering advanced insights for experienced readers.