On a semilinear stochastic partial differential equation with double-parameter fractional noises |
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Authors: | JunFeng Liu LiTan Yan |
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Institution: | 1. Department of Mathematics, Nanjing Audit University, Nanjing, 211815, China 2. Department of Mathematics, Donghua University, Shanghai, 201620, China
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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. |
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