The Landis conjecture for variable coefficient second-order elliptic PDEs

DOI10.1090/tran/7073zbMath1375.35061arXiv1510.04762OpenAlexW2963850871WikidataQ123281013 ScholiaQ123281013MaRDI QIDQ5369026

Blair Davey, Carlos E. Kenig, Jenn-Nan Wang

Publication date: 11 October 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04762

zbMATH Keywords

Beltrami systemHadamard's three-circle theoremmaximal vanishing order

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (16)

Landis-type conjecture for the half-Laplacian ⋮ Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ Gaussian decay of harmonic oscillators and related models ⋮ Quantitative unique continuation for Schrödinger operators ⋮ On the Landis conjecture for the fractional Schrödinger equation ⋮ Space-like quantitative uniqueness for parabolic operators ⋮ Semiclassical resolvent estimates for bounded potentials ⋮ On Landis' conjecture in the plane for some equations with sign-changing potentials ⋮ The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients ⋮ On Landis’ conjecture in the plane when the potential has an exponentially decaying negative part ⋮ On the fractional Landis conjecture ⋮ The Landis conjecture with sharp rate of decay ⋮ Certain Liouville properties of eigenfunctions of elliptic operators ⋮ Landis' conjecture for general second order elliptic equations with singular lower order terms in the plane ⋮ Localisation for Delone operators via Bernoulli randomisation ⋮ Improved quantitative unique continuation for complex-valued drift equations in the plane

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