### Optimal potentials for Schrödinger operators

**Buttazzo, G ***(Università di Pisa)*

Wednesday 15 January 2014, 14:00-15:00

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

We consider the Schr\"odinger operator $-\Delta+V(x)$ on $H^1_0(\Omega)$, where $\Omega$ is a given domain of ${\mathbb R}^d$. Our goal is to study some optimization problems where an optimal potential $V\ge0$ has to be determined in some suitable admissible classes and for some suitable optimization criteria, like the energy or the Dirichlet eigenvalues.

#### Video

This talk has not been recorded due to technical difficulties.