Essential self-adjointness of real principal type operators

Abstract

We study the essential self-adjointness for real principal type differential operators. Unlike the elliptic case, we need geometric conditions even for operators on the Euclidean space with asymptotically constant coefficients, and we prove the essential self-adjointness under the null non-trapping condition.

arXiv comment23pages

References in corpus (2)

• Strichartz estimates for non-degenerate Schrödinger equations
• Periodic Cubic Hyperbolic Schrödinger equation on $\T^2$

Cited by in corpus (5)

• Complex powers of the wave operator and the spectral action on Lorentzian scattering spaces
• Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes
• Dynamical residues of Lorentzian spectral zeta functions
• An index theorem on asymptotically static spacetimes with compact Cauchy surface
• Equivalence of classical and quantum completeness for real principal type operators on the circle