English

Essential self-adjointness of real principal type operators

Analysis of PDEs 2019-12-13 v1 Mathematical Physics math.MP Spectral Theory

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.

Keywords

Cite

@article{arxiv.1912.05711,
  title  = {Essential self-adjointness of real principal type operators},
  author = {Shu Nakamura and Kouichi Taira},
  journal= {arXiv preprint arXiv:1912.05711},
  year   = {2019}
}

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23pages