A counterexample in unique continuation

DOI10.4310/MRL.2000.V7.N5.A8zbMATH Open0973.35064OpenAlexW2320088491WikidataQ124858647 ScholiaQ124858647MaRDI QIDQ5929465

Nikolai Nadirashvili, Carlos Kenig

Publication date: 2000

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2000.v7.n5.a8

zbMATH Keywords

unique continuation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Continuation and prolongation of solutions to PDEs (35B60) Spaces of measures (46E27)

Related Items (20)

On quantitative uniqueness for elliptic equations ⋮ Quantitative uniqueness of solutions to second order elliptic equations with singular potentials in two dimensions ⋮ Counterexamples for unique continuation ⋮ Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ Carleman estimates and unique continuation for second-order elliptic equations with non\-smooth coefficients. ⋮ A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations ⋮ Zero-energy bound state decay for non-local Schrödinger operators ⋮ On unique continuation for Schrödinger operators of fractional and higher orders ⋮ Unique continuation for fractional Schrödinger operators in three and higher dimensions ⋮ A counterexample in non-metric continua theory ⋮ Unique continuation for sublinear elliptic equations based on Carleman estimates ⋮ The Calderón problem for conormal potentials I: Global uniqueness and reconstruction ⋮ A unique continuation result for the plate equation and an application ⋮ Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials ⋮ The unique extremality counterexample ⋮ Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media ⋮ A remark on unique continuation ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ Landis' conjecture for general second order elliptic equations with singular lower order terms in the plane ⋮ On minimal support properties of solutions of Schrödinger equations

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