Decay rates at infinity for solutions to periodic Schrödinger equations

DOI10.1017/prm.2018.87zbMath1436.35094arXiv1703.06194OpenAlexW2963375679WikidataQ114117849 ScholiaQ114117849MaRDI QIDQ4961003

Daniel M. Elton

Publication date: 24 April 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06194

zbMATH Keywords

unique continuationperiodic Schrödinger operatorCarleman estimateelliptic evolution equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Uniqueness results for solutions of continuous and discrete PDE ⋮ On the rate of decay at infinity for solutions to the Schrödinger equation in a half-cylinder

Cites Work

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• Schrödinger semigroups
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• Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian
• Unique continuation at infinity of solutions to Schrödinger equations with complex-valued potentials
• On Landis’ Conjecture in the Plane
• The distribution of integers represented by binary quadratic forms
• Floquet theory for partial differential equations

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