Schrödinger and polyharmonic operators on infinite graphs: Parabolic well-posedness and p-independence of spectra

Simon Becker, Federica Gregorio, Delio Mugnolo

We analyze properties of semigroups generated by Schrödinger operators $-\Delta +V$ or polyharmonic operators $-(-\Delta {)}^m$, on metric graphs both on $L^p$-spaces and spaces of continuous fu…