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Heat Equations with Fractional White Noise Potentials

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References

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1996On the prediction of fractional Brownian motion205 cited

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2005Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise82 cited
2002A stochastic maximum principle for processes driven by fractional Brownian motion68 cited
2010The stochastic wave equation with fractional noise: A random field approach59 cited
2004REGULARIZATION OF QUASILINEAR HEAT EQUATIONS BY A FRACTIONAL NOISE51 cited
2016Intermittency for the wave and heat equations with fractional noise in time47 cited
2016Stochastic evolution equations with Volterra noise33 cited
2011The Stochastic Wave Equation with Multiplicative Fractional Noise: A Malliavin Calculus Approach30 cited
2004General Fractional Multiparameter White Noise Theory and Stochastic Partial Differential Equations30 cited
2015SPDEs with affine multiplicative fractional noise in space with index $\frac{1}{4}\langle H\langle\frac{1}{2}$28 cited

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2019Some Recent Progress on Stochastic Heat Equations25 cited

2014Solving a Nonlinear Fractional Stochastic Partial Differential Equation with Fractional Noise22 cited

2012Stochastic evolution equations driven by Liouville fractional Brownian motion22 cited