Approximations for a solution to stochastic heat equation with stable noise

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, conve...

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Bibliographic Details
Main Authors: Larysa Pryhara, Georgiy Shevchenko
Format: Article
Language:English
Published: VTeX 2016-06-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/16-VMSTA56

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