Schrödinger and Dirac operators with singular potentials and hyperbolic equations

Paul Robert Chernoff

Vol. 72 (1977), No. 2, 361–382

DOI: 10.2140/pjm.1977.72.361

Abstract

In an earlier paper we employed techniques from the theory of hyperbolic partial differential equations to deduce the self-adjointness of Dirac and Schrödinger operators with smooth potentials. The present paper applies these techniques to operators with singular potentials.

Mathematical Subject Classification 2000

Primary: 35P05

Secondary: 58G10, 34B25

Milestones

Received: 2 February 1977

Published: 1 October 1977