Stochastic evolution equations in UMD Banach spaces

Stochastic integration in Banach spaces and applications to parabolic evolution equations

Stochastic partial differential equations (SPDEs) of evolution type are usually modelled as ordinary stochastic differential equations (SDEs) in an infinite-dimensional state space. In many examples such as the stochastic heat and wave equation, this viewpoint may lead to existence and uniqueness results and regularity properties. To model the...