论文标题
Hölder的汉密尔顿 - 雅各比方程的规律性具有随机强迫
Hölder regularity of Hamilton-Jacobi equations with stochastic forcing
论文作者
论文摘要
我们获得了时空Hölder规则性估计，用于与加性随机强迫术语扰动的一阶和二阶 - 雅各布方程的解决方案。边界仅取决于哈密顿量在梯度和随机系数的规律性中的生长，这种方式相对于双曲线缩放而言是不变的。
We obtain space-time Hölder regularity estimates for solutions of first- and second-order Hamilton-Jacobi equations perturbed with an additive stochastic forcing term. The bounds depend only on the growth of the Hamiltonian in the gradient and on the regularity of the stochastic coefficients, in a way that is invariant with respect to a hyperbolic scaling.
