Hardy type unique continuation properties for abstract Schrödinger equations and applications

DOI10.14232/EJQTDE.2019.1.97zbMATH Open1449.35363arXiv1906.00083OpenAlexW2999923814WikidataQ126410749 ScholiaQ126410749MaRDI QIDQ5218064

Veli B. Shakhmurov

Publication date: 26 February 2020

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1906.00083

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zbMATH Keywords

Schrödinger equationsunique continuationpositive operatorsHardy's uncertainty principlegroups of operators

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear symmetric and selfadjoint operators (unbounded) (47B25) Initial value problems for second-order parabolic equations (35K15) Time-dependent Schrödinger equations and Dirac equations (35Q41) Groups and semigroups of linear operators, their generalizations and applications (47Dxx)

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