2 problems

Let $\Omega\subseteq\mathbb{R}^n$ be a domain and let $TV(u)$ denote the total variation of a function $u$. The preceding one-dimensional jump estimates suggest that a jump of heig…

Let $u$ be a piecewise constant function on an interval, let $S_u$ be its finite or countable set of jump points, and for each $x\in S_u$ let $J_x$ denote the jump height. Define ……