Work

Stochastic fractional diffusion equations with spatial Gaussian noise in the Stratonovich regime

Year: 2026

Type: preprint

Abstract: For a class of stochastic fractional diffusion equations, we prove the existence of Stratonovich solutions and obtain the precise values of the Lyapunov exponents governing the large $t$-asymptotics of their $p$-th moments for all real $p\in\{1\}\cup[2,\infty)$, as well as the large $p$-asymptotics of the $p$-th moments.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.04826

Authors: Guo, Yuhui, Song, Jian, Wu, Guanyu

Institutions: Shandong University, Dalian University of Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Award: G7526687548

OpenAlex ID: W7211897300

Cites: 2

Cited by:

Related to: 10