标题： 噪声下的弱稳定性对于双非线性演化方程的近似 显示英文标题

标题： Weak stability by noise for approximations of doubly nonlinear evolution equations

摘要： 考虑双重非线性随机演化方程。 在假设加性噪声足够粗糙的情况下，我们证明了Friedrichs型的概率弱解的存在性，并研究了它们在法律意义上的唯一性。 这意味著在弱概率意义下，随机双重非线性方程的近似具有稳定性。 这种效应是真正随机的，因为双重非线性方程甚至在确定性情况下也不预期表现出唯一性。 显示英文摘要

摘要： Doubly nonlinear stochastic evolution equations are considered. Upon assuming the additive noise to be rough enough, we prove the existence of probabilistically weak solutions of Friedrichs type and study their uniqueness in law. This entails stability for approximations of stochastic doubly nonlinear equations in a weak probabilistic sense. Such effect is a genuinely stochastic, as doubly nonlinear equations are not even expected to exhibit uniqueness in the deterministic case.