Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise
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DOI: 10.1016/j.spa.2014.01.010
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References listed on IDEAS
- Liu, Wei & Röckner, Michael & Zhu, Xiang-Chan, 2013. "Large deviation principles for the stochastic quasi-geostrophic equations," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 3299-3327.
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Cited by:
- Lü, Huaxiang & Zhu, Xiangchan, 2023. "Global-in-time probabilistically strong solutions to stochastic power-law equations: Existence and non-uniqueness," Stochastic Processes and their Applications, Elsevier, vol. 164(C), pages 62-98.
- Li, Jingna & Liu, Hongxia & Tang, Hao, 2021. "Stochastic MHD equations with fractional kinematic dissipation and partial magnetic diffusion in R2," Stochastic Processes and their Applications, Elsevier, vol. 135(C), pages 139-182.
- Xu, Liping & Li, Zhi, 2018. "Stochastic fractional evolution equations with fractional brownian motion and infinite delay," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 36-46.
- Yanmei Liu & Monzorul Khan & Yubin Yan, 2016. "Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations," Mathematics, MDPI, vol. 4(3), pages 1-28, July.
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Keywords
Stochastic fractional partial differential equation; Local existence and uniqueness; Blow up; Navier–Stokes equation; Fractional Burgers equation; Quasi-geostrophic equation; Surface growth models;All these keywords.
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