Real analyticity of solutions to Schrödinger equations involving fractional Laplacians

Abstract

We prove analyticity of solutions in ${\mathbb{R}}^n$, $n\ge 1$, to certain nonlocal linear Schrödinger equations with analytic potentials.

Contribution to the proceedings of ICMP12, Aalborg, Denmark, August 6--11, 2012. This manuscript contains new results, not discussed in the talk. Version 2: Now in all dimensions

References in corpus (1)

• Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals