Larysa Pryhara, Georgiy Shevchenko
Published 2016-07-13Version 1
We consider a Cauchy problem for stochastic heat equation driven by a real harmonizable fractional stable process $Z$ with Hurst parameter $H>1/2$ and stability index $\alpha>1$. It is shown that the approximations for its solution, which are defined by truncating the LePage series for $Z$, converge to the solution.
Comments: Published at http://dx.doi.org/10.15559/16-VMSTA56 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)
Journal: Modern Stochastics: Theory and Applications 2016, Vol. 3, No. 2, 133-144
Stochastic Heat Equation Driven by Fractional Noise and Local Time
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Quenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noise
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