2 problems

Let $\Omega\subset\mathbb R^2$ be a bounded domain, and let $m\colon\Omega\to\mathbb R^2$ be a weak solution of the eikonal equation … For every $C^2$ entropy…

Let $u$ be a function for which the entropy productions $ablatext{-} abla$? are defined, and let $abla^{e3 u}$ denote the rotated gradient. The Jin–Kohn entropies are smooth maps…