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An alternative proof of well-posedness of stochastic evolution equations in the variational setting

Marinelli, C; Scarpa, L; Stefanelli, U; (2021) An alternative proof of well-posedness of stochastic evolution equations in the variational setting. Revue Roumaine de Mathematiques Pures et Appliquees , 66 (1) p. 209. Green open access

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Abstract

We present a new proof of well-posedness of stochastic evolution equations in variational form, relying solely on a (nonlinear) infinite-dimensional approximation procedure rather than on classical finite-dimensional projection arguments of Galerkin type.

Type: Article
Title: An alternative proof of well-posedness of stochastic evolution equations in the variational setting
Open access status: An open access version is available from UCL Discovery
Publisher version: http://imar.ro/journals/Revue_Mathematique/php/202...
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Stochastic evolution equations, variational approach, monotone operators.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10125798
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