论文标题
在带有分段恒定电导率的随机热方程的轻度和弱解上
On mild and weak solutions for stochastic heat equations with piecewise-constant conductivity
论文作者
论文摘要
我们以差异形式研究了一个随机部分微分方程，具有二阶椭圆形算子，具有分段常数扩散系数，并由时空白噪声驱动。我们引入了该方程式较弱的解决方案的概念，并证明了它与已知的轻度解决方案概念的等效性。
We investigate a stochastic partial differential equation with second order elliptic operator in divergence form, having a piecewise constant diffusion coefficient, and driven by a space-time white noise. We introduce a notion of weak solution of this equation and prove its equivalence to the already known notion of mild solution.
