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 nonlinear problem.

中文翻译：

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演化p-拉普拉斯方程的噪声现象的路径正则化

我们研究了一个演化p拉普拉斯问题，其潜力会随着时间的推移而变化。假设势能平移的轨迹允许足够规则的局部时间，我们就建立了经典方法中先验界限被打破的奇异势能问题的解的存在性，从而为该非线性问题建立了通过噪声现象的路径正则化。