Non Monotone Stochastic Evolution Equations

2013/02/24 by Κ. L. Kuttler, Kenneth L. Kuttler, Ji Li +2
Computer Science · Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Metaheuristic Optimization Algorithms Research #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math.PR

paper · pdf · doi:10.48550/arxiv.1302.5969

This paper has been withdrawn by the authors. The proof is not right. There are some mistakes in the measurable selection part

openalex publication_date 2013/02/24 · arxiv created 2013/03/13 · arxiv updated 2013/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An approach to stochastic evolution equations based on a simple generalization of known embedding theorems is presented. It allows for the inclusion of problems which have nonlinear non monotone operators. This is used to discuss the existence of strong solutions to a stochastic Navier Stokes problem in dimension less than four.

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