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Existence and Smoothness of the Density for Spatially Homogeneous SPDEs
8 references·7 citing·26 second hop
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this work references cited by second hop

References

  • 2006The Malliavin Calculus and Related Topics2,470 cited
  • 2006An introduction to stochastic partial differential equations2,216 cited
  • 1995The Malliavin Calculus and Related Topics1,545 cited
  • 1991Dirichlet Forms and Analysis on Wiener Space541 cited
  • 1999Extending the Martingale Measure Stochastic Integral With Applications to Spatially Homogeneous S.P.D.E.'s488 cited
  • 1999A Stochastic Wave Equation in Two Space Dimension: Smoothness of the Law140 cited
  • 2005Malliavin Calculus with Applications to Stochastic Partial Differential Equations114 cited
  • 1988Random non-linear wave equations: Smoothness of the solutions114 cited

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  • 2010The stochastic wave equation with fractional noise: A random field approach59 cited
  • 2016Intermittency for the wave and heat equations with fractional noise in time47 cited
  • 2020High-frequency analysis of parabolic stochastic PDEs47 cited
  • 2009Gaussian density estimates for solutions to quasi-linear stochastic partial differential equations34 cited
  • 2011The Stochastic Wave Equation with Multiplicative Fractional Noise: A Malliavin Calculus Approach30 cited
  • 2021Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equation30 cited

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  • 2015SPDEs with affine multiplicative fractional noise in space with index $\frac{1}{4}\langle H\langle\frac{1}{2}$28 cited