Pathwise Blowup of Space-Time Fractional Stochastic Partial Differential Equations

Chang-Song Deng (), Wei Liu () and Erkan Nane ()
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Chang-Song Deng: Wuhan University
Wei Liu: Shanghai Normal University
Erkan Nane: Auburn University

Journal of Theoretical Probability, 2025, vol. 38, issue 3, 1-16

Abstract: 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. In addition, a sufficient condition for the blowup is obtained when the spatial domain is the whole space.

Keywords: Stochastic partial differential equations; Pathwise blowup; Space-time white noise; Space colored noise; Osgood condition; 60H15 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10959-025-01424-x

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