Pathwise Blowup of space-time fractional SPDEs

Chang-Song Deng; Wei Liu; Erkan Nane

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arXiv · 2202.11564

Pathwise Blowup of space-time fractional SPDEs

Chang-Song Deng·Wei Liu·Erkan Nane

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Abstract

The finite time blowup in the almost sure sense of a class of space-time fractional stochastic partial differential equations is discussed. Both the cases of white noise and colored noise are considered. The sufficient and necessary condition between the blowup and Osgood condition is obtained when the spatial domain is bounded. And the sufficient condition for the blowup is obtained when the spatial domain is the whole space. The results in this paper could be regarded as extensions to some results in Foondun and Nualart, 2021.

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Chang-Song Deng, Wei Liu, Erkan Nane. 2022-02-23. Pathwise Blowup of space-time fractional SPDEs. https://arxiv.org/abs/2202.11564

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