Optimal design problems for Schrödinger operators with noncompact resolvents
Optimal design problems for Schrödinger operators with noncompact resolvents
We consider optimization problems for cost functionals which depend on the negative spectrum of Schrödinger operators of the form − Δ + V(x), where V is a potential, with prescribed compact support, which has to be determined. Under suitable assumptions the existence of an optimal potential is shown. This can …