论文标题
分数高阶薄膜方程：梯度流近方法
Fractional high order thin film equation: gradient flow approach
论文作者
论文摘要
我们证明在任何空间维度和方程的任何顺序中都存在分数薄膜类型方程的弱解。该证明是基于在沃斯坦（Wasserstein）距离赋予的Borel概率测量空间中的梯度流动技术。
We prove existence of weak solutions of a fractional thin film type equation in any space dimension and for any order of the equation. The proof is based on a gradient flow technique in the space of Borel probability measures endowed with the Wasserstein distance.
