Unique continuation properties for Schroedinger operators in Hilbert\n spaces

2019/05/28 by Veli Shakhmurov, Shakhmurov, Veli
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in engineering #Numerical methods in inverse problems #Quantum Mechanics and Non-Hermitian Physics #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.1906.00085

openalex publication_date 2019/05/28 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

Here, the Morgan type uncertainty principle and unique continuation\nproperties of abstract Schredinger equations with time dependent potentials are\nobtained in Hilbert space valued function classes. The equations include linear\noperator in abstract Hilbert spaces H dependent on space variables. So, by\nselecting appropriate spaces H and operators, we derive unique continuation\nproperties for numerous classes of Schr "odinger type equations and its\nsystems, which occur in a wide variety of physical systems.\n

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