Malliavin calculus for fractional heat equation

Aurélien Deya; Samy Tindel

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arXiv · 1109.0422

Malliavin calculus for fractional heat equation

Aurélien Deya·Samy Tindel

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Abstract

In this article, we give some existence and smoothness results for the law of the solution to a stochastic heat equation driven by a finite dimensional fractional Brownian motion with Hurst parameter $H>1/2$. Our results rely on recent tools of Young integration for convolutional integrals combined with stochastic analysis methods for the study of laws of random variables defined on a Wiener space.

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Aurélien Deya, Samy Tindel. 2011-09-02. Malliavin calculus for fractional heat equation. https://arxiv.org/abs/1109.0422

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