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

Guo, Yuhui et al.
arXiv (All) · Papers
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probability
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
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