2 problems

Let $u_0^{(i)}$ and $u^{(i)}$ be transmission eigenfunctions on a polygonal domain, and let a corner have interior angle $\theta$. Acute-corner vanishing conjecture. The vanishing…

Let $D$ be a domain with refractive index $n$, and let $u_0$ and $u$ be transmission eigenfunctions associated with a transmission eigenvalue. A point on the support of $1-n$ is ca…