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arXiv · 2608.30232

Strong Unique Continuation for Fractional Schr\"odinger Operators

Harsh Prasad
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Abstract

We prove the strong unique continuation property for the fractional Schr\"odinger equation \[ (-\Delta)^s u=Vu \] with scaling-critical potentials $ V\in L^{\frac{n}{2s}}_{\mathrm{loc}}$ for all $0<s<1$. Our result constitutes the nonlocal counterpart to the classical Jerison--Kenig result for Schr\"odinger operators.

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Harsh Prasad. 2026-08-31. Strong Unique Continuation for Fractional Schr\"odinger Operators. https://arxiv.org/abs/2608.30232

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