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Landis' conjecture: a survey

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arxiv 2412.00788 v2 pith:GUIMLPPE submitted 2024-12-01 math.AP

Aingeru Fernández-Bertolin , Diana Stan , Luz Roncal This is my paper
classification math.AP
keywords conjecturesurveyaccountadvancescloselycomplementconnectedcontexts
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We survey Kondrat'ev--Landis' conjecture, providing an up-to-date account of the main advances and describing the techniques developed. We complement the overview with references and formulations of the problem in further closely connected contexts.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On Support Cardinality for the Discrete Schr\"odinger Equation

    math-ph 2026-06 unverdicted novelty 6.0 of 10

    A dimension-reduction principle establishes that minimal support cardinality of nontrivial Dirichlet solutions to discrete Schrödinger equations on finite lattice boxes is non-decreasing in dimension, yielding nearly ...

  2. On Support Cardinality for the Discrete Schr\"odinger Equation

    math-ph 2026-06 accept novelty 6.0 of 10

    Minimal support cardinality S_d(N) of nontrivial origin-nonzero Dirichlet solutions is nondecreasing in d, so S_4(N) ≳ N²/log N, matching even-dimensional constructions up to a log factor.

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