Abstract
We consider a class of space-time fractional stochastic partial differential equation on a bounded domain with Lévy noise. We prove that the second moment of the solution can not decay exponentially and for , grows exponentially fast for large . When , there is some phase transition of the second moment growth, depending on the noise level .
Citation
Kexue Li. "Some properties of space-time fractional stochastic partial differential equations with Lévy noise." Rocky Mountain J. Math. 51 (5) 1715 - 1722, October 2021. https://doi.org/10.1216/rmj.2021.51.1715
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