Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations

DOI10.1063/1.5017938zbMath1381.35027arXiv1512.06347OpenAlexW3102098187WikidataQ59311961 ScholiaQ59311961MaRDI QIDQ4600257

Ivan Veselić, Martin Tautenhahn, Denis I. Borisov

Publication date: 8 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06347

zbMATH Keywords

continuation resultselliptic differential operators on \(\mathbb R^n\) or cubes

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (9)

Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operators ⋮ Sampling inequality for \(L^2\)-norms of eigenfunctions, spectral projectors, and Weyl sequences of Schrödinger operators ⋮ An abstract Logvinenko-Sereda type theorem for spectral subspaces ⋮ Unique continuation for the gradient of eigenfunctions and Wegner estimates for random divergence-type operators ⋮ A quantitative Carleman estimate for second-order elliptic operators ⋮ Semiclassical resolvent estimates for bounded potentials ⋮ Wegner estimate and disorder dependence for Alloy-type Hamiltonians with bounded magnetic potential ⋮ Lower bounds for Dirichlet Laplacians and uncertainty principles ⋮ Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

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