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Well-posedness, Regularity, and Strong Approximations of Superlinear Stochastic Reaction-Diffusion Equation

Liu, Zhihui
arXiv (OAI Expanded) · Papers
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65m60numerical-analysisprobability
This paper develops a general framework for the well-posedness, regularity, and strong approximation of the stochastic reaction--diffusion equation (SRDE) with superlinear drift and diffusion coefficients. We first extend the well-posedness results in \emph{W. Liu and M. Röckner, J. Funct. Anal., 29
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