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<p>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.</p>

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Pathwise Blowup of Space-Time Fractional Stochastic Partial Differential Equations

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Chang-Song Deng,
  • Wei Liu,
  • Erkan Nane

摘要

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.