AN ALTERNATIVE PROOF OF WELL-POSEDNESS OF STOCHASTIC EVOLUTION EQUATIONS IN THE VARIATIONAL SETTING

被引：0

作者：

Marinelli, Carlo ^{[1
]}

Scarpa, Luca ^{[2
]}

Stefanelli, Ulisse ^{[2
,3
,4
]}

机构：

[1] UCL, Dept Math, Gower St, London WC1E 6BT, England

[2] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[3] Univ Vienna, Vienna Res Platform Accelerating Photoreact Disco, Wahringer Str 17, A-1090 Vienna, Austria

[4] CNR, Ist Matemat Applicata & Tecnol Informat E Magenes, Via Ferrata 1, I-27100 Pavia, Italy

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2021年 / 66卷 / 01期

基金：

奥地利科学基金会;

关键词：

stochastic evolution equations; variational approach; monotone operators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：209 / 221

页数：13

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