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Blowup solutions for stochastic parabolic equations

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  • Lv, Guangying
  • Wei, Jinlong

Abstract

In this short paper, we are concerned with the blowup phenomenon of stochastic parabolic equations. By using the comparison principle and the results for deterministic parabolic equations, we obtain blowup results of solutions for stochastic parabolic equations.

Suggested Citation

  • Lv, Guangying & Wei, Jinlong, 2020. "Blowup solutions for stochastic parabolic equations," Statistics & Probability Letters, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:stapro:v:166:y:2020:i:c:s0167715220301796
    DOI: 10.1016/j.spl.2020.108876
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    References listed on IDEAS

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    1. Dozzi, Marco & López-Mimbela, José Alfredo, 2010. "Finite-time blowup and existence of global positive solutions of a semi-linear SPDE," Stochastic Processes and their Applications, Elsevier, vol. 120(6), pages 767-776, June.
    2. Chow, Pao-Liu & Liu, Kai, 2012. "Positivity and explosion in mean Lp-norm of stochastic functional parabolic equations of retarded type," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1709-1729.
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    Cited by:

    1. Liang, Fei & Zhang, Yidi & Zhao, Shuangshuang, 2024. "Blow-up solution to an abstract non-local stochastic heat equation with Lévy noise," Statistics & Probability Letters, Elsevier, vol. 206(C).

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