Equivalence and Holder-Sobolev Regularity of Solutions for a Class of Non Autonomous Stochastic Partial Di erential Equations

@inproceedings{SanzSol2002EquivalenceAH,
  title={Equivalence and Holder-Sobolev Regularity of Solutions for a Class of Non Autonomous Stochastic Partial Di erential Equations},
  author={Marta Sanz-Sol},
  year={2002}
}
  • Marta Sanz-Sol
  • Published 2002
In this article we investigate a class of non autonomous, semilinear, stochastic partial di erential equations de ned on a smooth, bounded, convex domain of R and driven by an in nite-dimensional noise; this noise is colored relative to the space variable and white relative to the time variable. Under an appropriate integrability condition regarding the covariance operator of the associated Wiener process, we introduce three notions of solution for them and prove their indistinguishability. We… CONTINUE READING

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