On absence of bound states for weakly attractive ${\delta }^{\prime }$-interactions supported on non-closed curves in ${\mathbb{R}}^2$

Michal Jex, Vladimir Lotoreichik

Let $\Lambda \subset {\mathbb{R}}^2$ be a non-closed piecewise-$C^1$ curve, which is either bounded with two free endpoints or unbounded with one free endpoint. Let $u_{\pm }{|}_{\Lambda }\in L^2(\Lambda )$ be t…