一个伴有梯度的随机偏微分方程强解的存在唯一性
Existence and Uniqueness of Strong Solution to a Stochastic Partial Differential Equation with Gradient
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摘要: 本文建立了一个由高斯有色噪声驱动的漂移项和扩散项都伴有梯度的非李普希茨系数的随机偏微分方程强解的存在唯一性.Abstract: In this paper we establish the existence and uniqueness of strong solution to a stochastic partial differential equation driven by Gaussian colored noise and with gradient in drift and diffusion terms and non-Lipschitz coefficients