A remark on Strichartz estimates for Schrödinger equations with slowly decaying potentials

DOI10.1090/proc/15954zbMath1496.35338arXiv2108.02900OpenAlexW4226283447MaRDI QIDQ5086941

Kouichi Taira

Publication date: 8 July 2022

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

Full work available at URL: https://arxiv.org/abs/2108.02900

zbMATH Keywords

Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbations in context of PDEs (35B20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• Agmon-Kato-Kuroda theorems for a large class of perturbations
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• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
• Strichartz estimates for Schrödinger equations with slowly decaying potentials
• Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities
• SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
• Maximal functions associated to filtrations

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