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We will present some results on stochastic linear and bilinear equations in infinite dimensions where the driving process may be a general Gaussian process of Volterra type. Examples of such processes are fractional or Liouville fractional Brownian motion, multifractal Brownian motion or corresponding OU processes. Existence, uniqueness and large time behaviour of solutions will be established. In particular, some examples in which qualitative behaviour of solutions is significantly different from the standard white noise case will be discussed. |
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