Carleman inequalities for fractional Laplacians and unique continuation
Ihyeok Seo
TL;DR
This paper establishes a unique continuation property for fractional Schrödinger operators with Morrey space potentials, utilizing new Carleman inequalities for fractional Laplacians to advance understanding of these operators.
Contribution
Introduces novel Carleman inequalities for fractional Laplacians enabling unique continuation results for fractional Schrödinger operators with Morrey space potentials.
Findings
Proves unique continuation for fractional Schrödinger operators.
Develops new Carleman inequalities for fractional Laplacians.
Extends analysis to potentials in Morrey spaces.
Abstract
We obtain a unique continuation result for fractional Schr\"odinger operators with potential in Morrey spaces. This is based on Carleman inequalities for fractional Laplacians.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Numerical methods in inverse problems · Advanced Mathematical Modeling in Engineering