2016-09-122016-09-122015-10Garrido Atienza, M.J., Lu, K. y Schmalfuss, B. (2015). Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters H ∈ (1/3, 1/2]. Discrete and Continuous Dynamical Systems - Series B, 20 (8), 2553-2581.1531-34921553-524Xhttp://hdl.handle.net/11441/44899In this article we are concerned with the study of the existence and uniqueness of pathwise mild solutions to evolutions equations driven by a H¨older continuous function with H¨older exponent in (1/3, 1/2). Our stochastic integral is a generalization of the well-known Young integral. To be more precise, the integral is defined by using a fractional integration by parts formula and it involves a tensor for which we need to formulate a new equation. From this it turns out that we have to solve a system consisting in a path and an area equations. In this paper we prove the existence of a unique local solution of the system of equations. The results can be applied to stochastic evolution equations with a non-linear diffusion coefficient driven by a fractional Brownian motion with Hurst parameter in (1/3, 1/2], which is particular includes white noise.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Stochastic PDEsHilbert-valued fractional Brownian motionPathwise solutionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.3934/dcdsb.2015.20.2553https://idus.us.es/xmlui/handle/11441/44899