Showing 2025Show all
2 papers · 1 filter
math.SP2025
Local perturbations of potential well arrays
Pavel Exner, David Spitzkopf
We consider an equidistant array of disjoint potential wells in , built over a straight line, and show that, under a restriction on the potential support as…
math.AP2025
Ground states for the NLS on non-compact graphs with an attractive potential
Riccardo Adami, Ivan Gallo, David Spitzkopf
We consider the subcritical nonlinear Schrödinger equation on non-compact quantum graphs with an attractive potential supported in the compact core, and investigate the existence a…