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arXiv · 2403.09466

Mild solutions to semilinear rough partial differential equations

Stefan Tappe
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Abstract

We provide an existence and uniqueness result for mild solutions to rough partial differential equations in the framework of the semigroup approach. Applications to stochastic partial differential equations driven by infinite dimensional Wiener processes and infinite dimensional fractional Brownian motion are presented as well.

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Stefan Tappe. 2024-03-14. Mild solutions to semilinear rough partial differential equations. https://doi.org/10.1142/9789819802104_0002

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