Lp −Solutions of the Stochastic Navier-Stokes Equations Subject to Lévy Noise with Lm (Rm) Initial Data

Document Type

Article

Publication Date

9-2017

Abstract

In this work, we establish the local solvability of the stochastic Navier-Stokes equations in Rm, m≥2, perturbed by Lévy noise in Lp−spaces for p∈[m,∞) with an Lm(Rm)−valued initial data.

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LATEX-format title: $\mathbb{L}^p-$solutions of the stochastic Navier-Stokes equations subject to Lévy noise with $\mathbb{L}^m(\mathbb{R}^m)$ initial data

DOI

10.3934/eect.2017021

Source Publication

Evolution Equations and Control Theory

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