The Burgers equation driven by a stochastic measure-Reference-Cited by-同舟云学术

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The Burgers equation driven by a stochastic measure

Published:2023 Issue: Volume: Page:229-246
ISSN:2351-6046
Container-title:Modern Stochastics: Theory and Applications
language:en
Short-container-title:

Author:

Radchenko Vadym^ORCID

Abstract

The class of one-dimensional equations driven by a stochastic measure μ is studied. For μ only σ-additivity in probability is assumed. This class of equations includes the Burgers equation and the heat equation. The existence and uniqueness of the solution are proved, and the averaging principle for the equation is studied.

Publisher

VTeX

Subject

Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability

Reference27 articles.

1. Regularity of the mild solution of a parabolic equation with stochastic measure;Ukrainian Math. J.,2017

2. The wave equation in the three-dimensional space driven by a general stochastic measure;Theory Probab. Math. Statist.,2020

3. Averaging principle for a stochastic cable equation;Mod. Stoch. Theory Appl.,2020

4. One-dimensional stochastic Burgers equation driven by Lévy processes;J. Funct. Anal.,2007

5. Topological rings of sets, continuous set functions, integration. III;Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys.,1972

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