Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics

This volume contains survey articles on various aspects of stochastic partial differential equations (SPDEs) and their applications in stochastic control theory and in physics. The topics presented in this volume are: dynamics of stochastic reaction-diffusion equations; stochastic Itô-Volterra backward equations in Banach spaces; stochastic equations of Schrödinger type; optimal control of stochastic Navier-Stokes equations; quantum Hamilton equations from stochastic optimal control theory. This book is intended not only for graduate students in mathematics or physics, but also for mathematicians, mathematical physicists, theoretical physicists, and science researchers interested in the physical applications of the theory of stochastic processes.Contents: Preface Dynamics of Stochastic Reaction-Diffusion Equations (C Kuehn and A Neamtu) Stochastic Itô-Volterra Backward Equations in Banach Spaces (M Azimi and W Grecksch) Stochastic Schrödinger Equations (W Grecksch and H Lisei) Optimal Control of the Stochastic Navier-Stokes Equations (P Benner and C Trautwein) QHE from Stochastic Optimal Control Theory (J Köppe, M Patzold, M Beyer, W Grecksch and W Paul)Readership: Graduate students in mathematics or physics, mathematicians, mathematical physicists, theoretical physicists, and science researchers interested in the physical applications of the theory of stochastic processes.