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Quasi-sure Limit Theorem of Parabolic Stochastic Partial Differential Equations

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Abstract

In this paper we prove a quasi-sure limit theorem of parabolic stochastic partial differential equations with smooth coefficients and some initial conditions, by the way, we obtain the quasi-sure continuity of the solution.

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Authors and Affiliations

  1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

    Xi Cheng Zhang

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  1. Xi Cheng Zhang
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Correspondence to Xi Cheng Zhang.

Additional information

This work is supported by NSF(No. 10301011) of China and Project 973

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Zhang, X.C. Quasi-sure Limit Theorem of Parabolic Stochastic Partial Differential Equations. Acta Math Sinica 20, 719–730 (2004). https://doi.org/10.1007/s10114-004-0353-z

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  • DOI: https://doi.org/10.1007/s10114-004-0353-z

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