3 problems

Let $Omega a$ be the spatial domain, let $f$ be the initial source, let $c$ be the sound speed, and let $q(x')$ depend on the first two spatial variables $x'$. Write $chiOmega$ for…

Let $B$ be the unit ball in $\mathbb{R}^2$, and let $c_1$ and $c_2$ be sound speeds that equal the known constant $c_0$ on $B^c$. For each $i\in\{1,2\}$, write $\mathcal{D}_{c_i}f$…

Let $n$ be a positive integer, let $S\subset\mathbb{R}^n$, and let $f$ be compactly supported. A set $S$ is a non-uniqueness set for compactly supported functions $f$ if the corres…