论文标题
通过噪声现象的路径正规化，用于进化$ p $ laplace方程
A pathwise regularization by noise phenomenon for the evolutionary $p$-Laplace equation
论文作者
论文摘要
我们研究了一个进化$ p $ - 平淡的问题，其潜力会及时进行翻译。如果将电势翻译的轨迹接受足够正常的本地时间，我们为奇异潜力的问题建立了解决方案的存在，而经典方法中的先验界限破裂，从而建立了这个非线性问题的噪声现象的路径正则化。
We study an evolutionary $p$-Laplace problem whose potential is subject to a translation in time. Provided the trajectory along which the potential is translated admits a sufficiently regular local time, we establish existence of solutions to the problem for singular potentials for which a priori bounds in classical approaches break down, thereby establishing a pathwise regularization by noise phenomena for this non-linear problem.
