论文标题
Schauder估计与由彩色噪声驱动的随机反应扩散方程相关的固定和进化方程
Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise
论文作者
论文摘要
我们考虑具有彩色噪声的随机反应扩散方程，并证明了Schauder类型的估计值，这将取决于噪声的颜色，对于与相应的过渡半群相关的固定和进化问题，这些问题是在有限和均匀连续功能的Banach空间上定义的。
We consider stochastic reaction-diffusion equations with colored noise and prove Schauder type estimates, which will depend on the color of the noise, for the stationary and evolution problems associated with the corresponding transition semigroup, defined on the Banach space of bounded and uniformly continuous functions.
