Variational Solutions for Partial Differential Equations Driven by a Fractional Noise

  title={Variational Solutions for Partial Differential Equations Driven by a Fractional Noise},
  author={David Nualart},
In this article we develop an existence and uniqueness theory of variational solutions for a class of non autonomous stochastic partial differential equations of parabolic type defined on a bounded open subset D ⊂ R and driven by an infinite-dimensional multiplicative fractional noise. We introduce two notions of such solutions for them and prove their existence and their indistinguishability by assuming that the noise is derived from an L(D)-valued fractional Wiener process W with Hurst… CONTINUE READING
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