Essential self-adjointness of real principal type operators
- Resource Type
- Authors
- Kouichi Taira; Shu Nakamura
- Source
- Annales Henri Lebesgue. 4:1035-1059
- Subject
- Pure mathematics
Constant coefficients
Euclidean space
Elliptic case
Null (mathematics)
FOS: Physical sciences
Ocean Engineering
Mathematical Physics (math-ph)
Differential operator
Mathematics - Spectral Theory
Mathematics - Analysis of PDEs
FOS: Mathematics
58J50, 35P25, 47B25
Spectral Theory (math.SP)
Principal type
Mathematical Physics
Analysis of PDEs (math.AP)
Mathematics
- Language
- ISSN
- 2644-9463
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.
Comment: 23pages