English

Unique continuation properties for abstract Schroedinger equations and applications

Analysis of PDEs 2019-06-04 v1

Abstract

In this paper, Hardy's uncertainty principle and unique continuation properties of Schrodinger equations with operator potentials in Hilbert space-valued classes are obtained. Since the Hilbert space H and linear operators are arbitrary, by choosing the appropriate spaces and operators we obtain numerous classes of Schrodinger type equations and its finite and infinite many systems which occur in a wide variety of physical systems.

Keywords

Cite

@article{arxiv.1906.00083,
  title  = {Unique continuation properties for abstract Schroedinger equations and applications},
  author = {Veli Shakhmurov},
  journal= {arXiv preprint arXiv:1906.00083},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1706.00807, arXiv:1906.00085; text overlap with arXiv:0802.1608 by other authors

R2 v1 2026-06-23T09:36:11.569Z