Wave Equations with Point Interactions in Finite Energy Space

Massimo Bertini, Diego Noja, Andrea Posilicano

Given the abstract wave equation $\ddot{\varphi }-{\Delta }_{\alpha }\varphi =0$, where ${\Delta }_{\alpha }$ is the Laplace operator with a point interaction of strength $\alpha$, we define and study ${\bar{W}}_{\alpha }$, the associated wave…