PreprintCC BY 4.0arXiv
Strong Unique Continuation for Fractional Schrödinger Operators
Abstract
We prove the strong unique continuation property for the fractional Schrödinger equation (−Δ)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 Schrödinger operators.
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BibTeX
@misc{prasad2026strong,
title = {{Strong Unique Continuation for Fractional Schrödinger Operators}},
author = {Harsh Prasad},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30232},
eprint = {2608.30232},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30232},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Strong Unique Continuation for Fractional Schrödinger Operators
AU - Harsh Prasad
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30232
UR - https://arxiv.org/abs/2608.30232
AB - We prove the strong unique continuation property for the fractional Schrödinger equation (−Δ)^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 Schrödinger operators.
ER -