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• W2917341062 abstract "In this article we study the strong unique continuation property for solutions of higher order (variable coefficient) fractional Schrodinger operators. We deduce the strong unique continuation property in the presence of subcritical and critical Hardy type potentials. In the same setting, we address the unique continuation property from measurable sets of positive Lebesgue measure. As applications we prove the antilocality of the higher order fractional Laplacian and Runge type approximation theorems which have recently been exploited in the context of nonlocal Calder'on type problems. As our main tools, we rely on the characterisation of the higher order fractional Laplacian through a generalised Caffarelli-Silvestre type extension problem and on adapted, iterated Carleman estimates." @default.
• W2917341062 created "2019-03-02" @default.
• W2917341062 creator A5012683706 @default.
• W2917341062 creator A5026729456 @default.
• W2917341062 date "2019-02-26" @default.
• W2917341062 modified "2023-09-27" @default.
• W2917341062 title "Strong unique continuation for the higher order fractional Laplacian" @default.
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• W2917341062 hasPublicationYear "2019" @default.
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