Semi-classical resolvent estimates for the Schrödinger operator on non-compact complete Riemannian manifolds

DOI10.1007/s00574-004-0017-8zbMath1159.58308OpenAlexW2069407108WikidataQ115385776 ScholiaQ115385776MaRDI QIDQ2576704

Fernando Cardoso, Georgi Vodev, Georgi S. Popov

Publication date: 14 December 2005

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-004-0017-8

zbMATH Keywords

generalized geodesicsnon-trapping energy levelsemi-classical resolvent estimates

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (6)

Propagation through trapped sets and semiclassical resolvent estimates ⋮ Dispersive Estimates for Manifolds with One Trapped Orbit ⋮ Semi‐classical resolvent estimates and regions free of resonances ⋮ Semiclassical resolvent estimates for \(L^\infty\) potentials on Riemannian manifolds ⋮ From resolvent estimates to damped waves ⋮ Applications of resonance theory without analyticity assumption

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