Essential self-adjointness of real principal type operators
Shu Nakamura, Kouichi Taira
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.
Topics & Concepts
MathematicsDifferential operatorConstant coefficientsNull (SQL)Principal (computer security)Type (biology)Euclidean spaceConstant (computer programming)Principal partEuclidean geometryElliptic operatorMathematical analysisPure mathematicsGeometryComputer scienceData miningOperating systemBiologyEcologyProgramming languageAdvanced Mathematical Physics ProblemsSpectral Theory in Mathematical PhysicsAdvanced Mathematical Modeling in Engineering