Morgan type uncertainty principle and unique continuation properties for abstract Schrödinger equations
Abstract
In this paper, Morgan type uncertainty principle and unique continuation properties of abstract Schrödinger equations with time dependent potentials in vector-valued classes are obtained. The equation involves a possible linear operators considered in the Hilbert spaces. So, by choosing the corresponding spaces H and operators we derived unique continuation properties for numerous classes of Schrödinger type equations and its systems which occur in a wide variety of physical systems
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2017
- DOI:
- 10.48550/arXiv.1706.00806
- arXiv:
- arXiv:1706.00806
- Bibcode:
- 2017arXiv170600806S
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematics - Functional Analysis;
- 35Q41;
- 35K15;
- 47B25;
- 47Dxx;
- 46E40