The Landis conjecture on exponential decay
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222_2025_Article_1340.pdf
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1.43 MB
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Author(s)
Logunov, A.
Malinnikova, E.
Nadirashvili, N.
Nazarov, F.
Date Issued
June 25, 2025
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
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 .
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00222-025-01340-1
