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On Lp-solutions of semilinear stochastic partial differential equations

Author

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  • Gyöngy, István
  • Rovira, Carles

Abstract

We prove existence, uniqueness and comparison theorems for a class of parabolic semilinear stochastic partial differential equations with nonlinearities of polynomial growth in the case of several space dimension.

Suggested Citation

  • Gyöngy, István & Rovira, Carles, 2000. "On Lp-solutions of semilinear stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 90(1), pages 83-108, November.
    • Handle: RePEc:eee:spapps:v:90:y:2000:i:1:p:83-108
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    References listed on IDEAS

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    1. Cardon-Weber, Caroline, 1999. "Large deviations for a Burgers'-type SPDE," Stochastic Processes and their Applications, Elsevier, vol. 84(1), pages 53-70, November.
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    Cited by:

    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. Matoussi, Anis & Sabbagh, Wissal & Zhang, Tusheng, 2017. "Backward doubly SDEs and semilinear stochastic PDEs in a convex domain," Stochastic Processes and their Applications, Elsevier, vol. 127(9), pages 2781-2815.
    3. Hofmanová, Martina, 2013. "Degenerate parabolic stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 123(12), pages 4294-4336.

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