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On a semilinear stochastic partial differential equation with double-parameter fractional noises
Authors:JunFeng Liu  LiTan Yan
Institution:1. Department of Mathematics, Nanjing Audit University, Nanjing, 211815, China
2. Department of Mathematics, Donghua University, Shanghai, 201620, China
Abstract:We study the existence, uniqueness and Hölder regularity of the solution to a stochastic semilinear equation arising from 1-dimensional integro-differential scalar conservation laws. The equation is driven by double-parameter fractional noises. In addition, the existence and moment estimate are also obtained for the density of the law of such a solution.
Keywords:
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