Local smoothing for the Schrödinger equation on a multi-warped product manifold with inflection-transmission trapping

DOI10.1090/proc/15615zbMath1484.35167arXiv2005.13591OpenAlexW3159832664MaRDI QIDQ5164047

Derrick Nowak, Hans Christianson

Publication date: 9 November 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13591

zbMATH Keywords

dispersive estimatesSchrödinger equation on multi-warped product manifolds

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Smoothing effect for Schrödinger boundary value problems
• Local smoothing for scattering manifolds with hyperbolic trapped sets
• Semiclassical non-concentration near hyperbolic orbits
• Regularity of solutions to the Schrödinger equation
• Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
• Sharp local smoothing for manifolds with smooth inflection transmission
• Dispersive Estimates for Manifolds with One Trapped Orbit
• Schrodinger Equations: Pointwise Convergence to the Initial Data
• Local Smoothing Properties of Dispersive Equations
• High-frequency resolvent estimates on asymptotically Euclidean warped products
• Microlocal dispersive smoothing for the Schrödinger equation
• Remarks on the cauchy problem for schrödinger-type equations
• Local Smoothing with a Prescribed Loss for the Schrödinger Equation
• Quantum Monodromy and nonconcentration near a closed semi-hyperbolic orbit

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