Name: Mild Solutions to Semilinear Rough Partial Differential Equations
Creator: Tappe, Stefan
Keywords: Mathematics - Functional Analysis, Probability (math.PR), FOS: Mathematics, Mathematics - Probability, Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 15 Jun 2025Embargo end date: 01 Jan 2024 English Publisher:World Scientific Pub Co Pte Ltd

Authors: Tappe, Stefan;

doi: 10.1142/9789819802104_0002 , 10.48550/arxiv.2403.09466

arXiv: 2403.09466

Mild Solutions to Semilinear Rough Partial Differential Equations

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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.

49 pages

Related Organizations

University of Freiburg
Germany

Keywords

Mathematics - Functional Analysis, Probability (math.PR), FOS: Mathematics, Mathematics - Probability, Functional Analysis (math.FA)

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