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.

23pages

References in corpus (2)

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