论文标题
具有随机电势的灯芯型随机抛物线方程
Wick-type stochastic parabolic equations with random potentials
论文作者
论文摘要
考虑了具有随机电势，驱动力和初始条件的随机抛物线方程。芯产物用于理解两个广义随机过程的产物，并且通过白噪声分析的混乱方法证明了解决方案的存在和唯一性。提供了解决方案混乱膨胀形式的系数的估计。
The stochastic parabolic equations with random potentials, driving forces and initial conditions are considered. The Wick product is used to give sense to the product of two generalized stochastic processes, and the existence and uniqueness of solutions are proved via the chaos expansion method from white noise analysis. The estimates on coefficients in the chaos expansion form of the solutions are provided.
