3 problems

Let $\Omega\subset\mathbb{R}^3$ be a bounded domain diffeomorphic to the ball with smooth boundary, and consider the stability estimate asserting that sufficiently small…

Explicit-polynomial conjecture. There are explicit polynomials in the metric and its inverse, in the electromagnetic fields and their derivatives in tangential and normal direction…

Finite-time extinction conjecture. For every $q\gg1$ large enough and $h_0\in L^q(\partial\Omega)$, the trajectory