Unique continuation for fractional Schrödinger operators in three and higher dimensions

Ihyeok Seo

doi:10.1090/S0002-9939-2014-12594-9

Unique continuation for fractional Schrödinger operators in three and higher dimensions

Ihyeok Seo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We prove the unique continuation property for the differential inequality |(−Δ)^α/2u| ≤ |V (x)u|, where 0 < α < n and V ∈ L^n/α,∞ _loc (ℝⁿ), n ≥ 3.

Original language	English
Pages (from-to)	1661-1664
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-2014-12594-9
State	Published - 2015

Keywords

Schrödinger operators
Unique continuation

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10.1090/S0002-9939-2014-12594-9

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title = "Unique continuation for fractional Schr{\"o}dinger operators in three and higher dimensions",

abstract = "We prove the unique continuation property for the differential inequality |(−Δ)α/2u| ≤ |V (x)u|, where 0 < α < n and V ∈ Ln/α,∞ loc (ℝn), n ≥ 3.",

keywords = "Schr{\"o}dinger operators, Unique continuation",

author = "Ihyeok Seo",

note = "Publisher Copyright: {\textcopyright} 2014 American Mathematical Society.",

year = "2015",

doi = "10.1090/S0002-9939-2014-12594-9",

language = "English",

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N2 - We prove the unique continuation property for the differential inequality |(−Δ)α/2u| ≤ |V (x)u|, where 0 < α < n and V ∈ Ln/α,∞ loc (ℝn), n ≥ 3.

AB - We prove the unique continuation property for the differential inequality |(−Δ)α/2u| ≤ |V (x)u|, where 0 < α < n and V ∈ Ln/α,∞ loc (ℝn), n ≥ 3.

KW - Schrödinger operators

KW - Unique continuation

UR - https://www.scopus.com/pages/publications/84923233876

U2 - 10.1090/S0002-9939-2014-12594-9

DO - 10.1090/S0002-9939-2014-12594-9

M3 - Article

AN - SCOPUS:84923233876

SN - 0002-9939

VL - 143

SP - 1661

EP - 1664

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

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Unique continuation for fractional Schrödinger operators in three and higher dimensions

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Keywords

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