Stochastic Differential Equations in Banach Spaces: Decoupling, Delay Equations, and Approximations in Space and Time

The thesis deals with various aspects of the study of stochastic partial differential equations driven by Gaussian noise. The approach taken is functional analytic rather than probabilistic: the stochastic partial differential equation is interpreted as an ordinary stochastic differential equation in a Banach space. The major part of the thesis...