Work

Spatial asymptotic behaviors of fractional stochastic heat equations driven by additive Lévy white noise

Year: 2025

Type: article

Abstract: We establish explicit integral tests for spatial asymptotic behaviors of fractional stochastic heat equations driven by additive Lévy white noise. Our results indicate that fractional stochastic heat equations enjoy the so-called additive physical intermittent property in all dimensions when the driven Lévy white noise is sufficiently light-tailed. The proofs are based on heat kernel estimates for the fractional Laplacian and exact tail behaviors for Poissonian functionals associated with the driven Lévy white noise.

Source: Electronic Journal of Probability

DOI: 10.1214/25-ejp1363

Authors: Yuichi Shiozawa, Jian Wang

Institutions: Doshisha University, Fujian Normal University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

Funders: National Natural Science Foundation of China, Japan Society for the Promotion of Science