Unique continuation for Schrödinger operators in dimension three or less

DOI10.5802/aif.982zbMath0535.35007OpenAlexW1965117818MaRDI QIDQ791024

Eric T. Sawyer

Publication date: 1984

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1984__34_3_189_0

zbMATH Keywords

Sobolev spaceSchrödinger operatorsunique continuation

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (15)

Patterns of exponential decay for solutions to second order elliptic equations in a sector of \({\mathbb{R}}^ 2\) ⋮ Perturbation of embedded eigenvalues in the generalized N-body problem ⋮ Local Properties of Solutions of Schrödinger Equations ⋮ Interior hölder estimates for solutions of schrödinger equations and the regularity of nodal sets ⋮ Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients ⋮ Unique continuation for \(\bar{\partial}\) with square-integrable potentials ⋮ A partial answer to a conjecture of B. Simon concerning unique continuation ⋮ Schrödinger operators and unique continuation. Towards an optimal result ⋮ On unique continuation for Schrödinger operators of fractional and higher orders ⋮ Oscillatory Integrals and Unique Continuation for Second Order Elliptic Differential Equations ⋮ Local smoothing for Kato potentials in three dimensions ⋮ Carleman inequalities and the heat operator ⋮ On minimal support properties of solutions of Schrödinger equations ⋮ Recent work on sharp estimates in second-order elliptic unique continuation problems ⋮ A unique continuation theorem for uniformly elliptic equations with strongly singular potentials

Cites Work

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• Unique continuation for Schrödinger operators with unbounded potentials
• \(L^ p-\)inequalities for the Laplacian and unique continuation
• Schrödinger semigroups
• On Weighted Norm Inequalities for Positive Linear Operators

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