Compactness estimates for Hamilton-Jacobi equations depending on space

Fabio Ancona, Piermarco Cannarsa, Khai T. Nguyen

We study quantitative estimates of compactness in ${\mathbf{W}}_{loc}^{1,1}$ for the map $S_t$, $t>0$ that associates to every given initial data $u_0\in \mathrm{Lip}({\mathbb{R}}^N)$…