Semiclassical resolvent estimates for short-range \(L^\infty\) potentials

DOI10.2140/paa.2019.1.207zbMath1471.35068arXiv1809.06580OpenAlexW2890314694MaRDI QIDQ2002222

Georgi Vodev

Publication date: 11 July 2019

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06580

zbMATH Keywords

resolvent estimatessmall semiclassical parameter

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Improved resolvent bounds for radial potentials. II ⋮ Semiclassical estimates for scattering on the real line ⋮ Semiclassical resolvent bound for compactly supporte \(L^\infty\) potentials ⋮ Semiclassical resolvent bounds for short range L ∞ potentials with singularities at the origin ⋮ Semiclassical resolvent bounds for compactly supported radial potentials ⋮ Improved resolvent bounds for radial potentials ⋮ Semiclassical resolvent estimates for Hölder potentials ⋮ Semiclassical resolvent estimates for \(L^\infty\) potentials on Riemannian manifolds

Cites Work

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• Resolvent estimates for the magnetic Schrödinger operator
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• Semiclassical resolvent bounds in dimension two
• Semi‐classical resolvent estimates and regions free of resonances