Strong coupling asymptotics for $\delta$-interactions supported by curves with cusps

Brice Flamencourt, Konstantin Pankrashkin

Let $\Gamma \subset {\mathbb{R}}^2$ be a simple closed curve which is smooth except at the origin, at which it has a power cusp and coincides with the curve $|x_2|=x_1^p$ for some $p>1$. W…