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Unique continuation properties for the continuous Anderson operator in dimension 2

Moench, Nicolas
arXiv (All) · Papers
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probability
We consider singular continuous Anderson operators $H=-Δ+ξ$ on the one and two dimensional tori, and prove the strong unique continuation property for their eigenfunctions. The proof uses a ground-state transform to rewrite the eigenvalue equation in divergence form with a Hölder-continuous coeffici
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