English

Morgan type uncertainty principle and unique continuation properties for abstract Schr\"odinger equations

Analysis of PDEs 2017-06-06 v1 Functional Analysis

Abstract

In this paper, Morgan type uncertainty principle and unique continuation properties of abstract Schr\"odinger 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 Schr\"odinger type equations and its systems which occur in a wide variety of physical systems

Keywords

Cite

@article{arxiv.1706.00806,
  title  = {Morgan type uncertainty principle and unique continuation properties for abstract Schr\"odinger equations},
  author = {Veli Shakhmurov},
  journal= {arXiv preprint arXiv:1706.00806},
  year   = {2017}
}