… to stochastic evolution equations on infinite dimensional … equations are generalizations of
Itˆo stochastic equations … First results on infinite dimensional Itˆo equations started to appear in …

… developing fields of SDE's in infinite dimensional spaces and measure valued processes. …
equations. Professor Kallianpur's lectures were devoted to the subject of infinite dimensional …

… Conference on Stochastic Diflerential Equations in Infinite Dimensional Spaces and Their
… The infinite dimensional spaces where stochastic differential equations are formulated may …

… an infinite system of SDEs that does not arise from a stochastic partial differential equation
and … behaviors of solutions to infinitedimensional stochastic differential equations. The study of …

… for finite-dimensional invariant submanifolds for stochastic equations in infinite dimension,
in the spirit of Da Prato and Zabczyk (Stochastic Equations in Infinite Dimensions, Cambridge …

… We also prove new results on general diffusion Dirichlet forms in infinite dimensions, in … (ii)
For examples with explicitly given fik in the infinite dimensional case we refer to Sect. 7 below …

… The same situation also occurred in infinite dimensional … of functionals and differentiation in
infinite dimensional spaces. In 1976, … to infinite dimensional cases and created the stochastic …

… Da Prato, for introducing him to the theory of HJB equations in infinite dimension, for constant
encouragement in this work, and also for reading part of the manuscript. A. Święch would …

… mentioning motivating problems like heat equations, an electric circuit, an … stochastic
equations in infinite dimensions like stochastic evolution equations including such equations with …

… of stochastic differential equations in infinite dimensional … of stochastic differential equations
in infinite dimensions, for … of finite dimensional stochastic differential equations such as …