Carleman inequalities for fractional Laplacians and unique continuation

2014/10/29 by Ihyeok Seo, Seo, Ihyeok
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1410.8079

To appear in Taiwanese J. Math., 7 pages

openalex publication_date 2014/10/29 · arxiv created 2015/03/18 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a unique continuation result for fractional Schrödinger operators with potential in Morrey spaces. This is based on Carleman inequalities for fractional Laplacians.

Citations

• Interpolation of linear operators
• On unique continuation for Schrödinger operators of fractional and higher orders

Related

• Unique continuation for fractional Schrödinger operators in three and higher dimensions
• Carleman inequalities and unique continuation for the polyharmonic operators
• On unique continuation for Schrödinger operators of fractional and higher orders
• Global unique continuation from a half space for the Schrödinger equation
• Strong unique continuation for the higher order fractional Laplacian