3 problems

Let $Z\subset\mathbb{R}^2$ be a rectifiable barrier, and define the minimum-time function by … where $R^Z(t)$ is the region reachable from the initial fire $R_0$ by absolutely cont…

Consider the power-like Hamiltonian $H=A|Du|^\gamma$ with $A<0$ and $\gamma\neq2$. Negative-coefficient Liouville conjecture. The Liouville property should hold as in the quadratic…

Hamilton-Jacobi conjecture. Any such limit $G$ solves the Hamilton-Jacobi equation