The Landis conjecture on exponential decay

Author(s)
Logunov, A.; Malinnikova, E.; Nadirashvili, N.; Nazarov, F.
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Abstract
Abstract Consider a solution u to Δ u + V u = 0 on R 2 , where V is real-valued, measurable and | V | ≤ 1 . If | u ( x ) | ≤ exp ( − C | x | log 1 / 2 | x | ) , | x | > 2 , where C is a sufficiently large absolute constant, then u ≡ 0 .
Date issued
2025-06-25
URI
https://hdl.handle.net/1721.1/162191
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Inventiones mathematicae
Publisher
Springer Berlin Heidelberg
Citation
Logunov, A., Malinnikova, E., Nadirashvili, N. et al. The Landis conjecture on exponential decay. Invent. math. 241, 465–508 (2025).
Version: Final published version
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