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Stochastic fractional diffusion equations with spatial Gaussian noise in the Stratonovich regime
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∈{1}∪[2,∞), as well as the large p-asymptotics of the p-th moments.
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BibTeX
@misc{guo2026stochastic,
title = {{Stochastic fractional diffusion equations with spatial Gaussian noise in the Stratonovich regime}},
author = {Yuhui Guo and Jian Song and Guanyu Wu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04826},
eprint = {2609.04826},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04826},
}
RIS
TY - UNPB
TI - Stochastic fractional diffusion equations with spatial Gaussian noise in the Stratonovich regime
AU - Yuhui Guo
AU - Jian Song
AU - Guanyu Wu
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.04826
UR - https://arxiv.org/abs/2609.04826
AB - 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∈{1}∪[2,∞), as well as the large p-asymptotics of the p-th moments.
ER -