具有非Lipschitz扩散系数的广义随机Burgers方程

Q2 Mathematics

Communications on Stochastic Analysis Pub Date : 2019-01-01 DOI:10.31390/COSA.12.3.06

Vivek Kumar, Ankik Kumar Giri

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引用次数: 2

摘要

本文研究了一维广义随机Burgers方程的弱解的存在性，该方程具有Dirichlet边界条件和噪声项中的α-Hölder连续系数，其中α∈[1/2，1）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Stochastic Burgers' Equation with Non-Lipschitz Diffusion Coefficient

In this article, we study the existence of weak solutions to the one-dimensional generalized stochastic Burgers’ equation with polynomial nonlinearity perturbed by space-time white noise with Dirichlet boundary conditions and α-Hölder continuous coefficient in noise term, where α ∈ [1/2, 1). The existence of weak solutions is shown by solving an equivalent martingale problem.

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来源期刊

Communications on Stochastic Analysis Mathematics-Statistics and Probability

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： The journal Communications on Stochastic Analysis (COSA) is published in four issues annually (March, June, September, December). It aims to present original research papers of high quality in stochastic analysis (both theory and applications) and emphasizes the global development of the scientific community. The journal welcomes articles of interdisciplinary nature. Expository articles of current interest will occasionally be published. COSAis indexed in Mathematical Reviews (MathSciNet), Zentralblatt für Mathematik, and SCOPUS