Differential equations driven by Hölder continuous functions of order greater than 1/2

Mathematics – Probability

Scientific paper

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12 pages

Scientific paper

We derive estimates for the solutions to differential equations driven by a
H\"older continuous function of order $\beta>1/2$. As an application we deduce
the existence of moments for the solutions to stochastic partial differential
equations driven by a fractional Brownian motion with Hurst parameter
$H>{1/2}$.

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