On Landis' conjecture in the plane for some equations with sign-changing potentials

DOI10.4171/rmi/1176zbMath1464.35069arXiv1809.01520OpenAlexW3006175917WikidataQ123160947 ScholiaQ123160947MaRDI QIDQ1998673

Blair Davey

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01520

zbMATH Keywords

quantitative unique continuationsimilarity principleBeltrami systemorder of vanishingHadamard three-quasi-circle theoremLandis' conjecture

Mathematics Subject Classification ID

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

Related Items (8)

Landis-type conjecture for the half-Laplacian ⋮ On the Landis conjecture for the fractional Schrödinger equation ⋮ Uniqueness results for solutions of continuous and discrete PDE ⋮ Remarks on a boundary value problem for a matrix valued $\overline{\partial}$ equation ⋮ Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms ⋮ Exponential bounds for gradient of solutions to linear elliptic and parabolic equations ⋮ Improved quantitative unique continuation for complex-valued drift equations in the plane

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