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- Title
Approximation of the Fractional Schrödinger Propagator on Compact Manifolds.
- Authors
Chen, Jie Cheng; Fan, Da Shan; Zhao, Fa You
- Abstract
Let £ be a second order positive, elliptic differential operator that is self-adjoint with respect to some C∞ density dx on a compact connected manifold M . We proved that if 0 < α < 1, α/2 < s < α and f ∈ H s (M) then the fractional Schrödinger propagator e i t ℒ α / 2 on M satisfies e i t ℒ α / 2 f (x) − f (x) = o (t s / α − ε) almost everywhere as t → 0+, for any ε > 0.
- Subjects
ELLIPTIC operators; SELFADJOINT operators
- Publication
Acta Mathematica Sinica, 2021, Vol 37, Issue 10, p1485
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-021-0094-2