- boundedness of integral operators with oscillatory kernels: linear versus quadratic phases

DOI10.1080/00036811.2016.1192135zbMath1377.35040arXiv1507.03346OpenAlexW2963483249MaRDI QIDQ5269413

Ahmed A. Abdelhakim

Publication date: 15 June 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03346

zbMATH Keywords

\(L^p-L^q\) estimatesStrichartz estimatesoscillatory integralsstationary phase methodinhomogeneous free Schrödinger equation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) A priori estimates in context of PDEs (35B45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Asymptotic analysis of oscillatory integrals with the Mittag-Leffler function as an oscillatory kernel

Cites Work

• On the Lebesgue summablility of truncated double Fourier series
• Improved inhomogeneous Strichartz estimates for the Schrödinger equation
• A counter example to Strichartz estimates for the inhomogeneous Schrödinger equation
• Some remarks on the \(L^p\)-\(L^q\) boundedness of trigonometric sums and oscillatory integrals
• Inhomogeneous Strichartz estimates for the Schrödinger equation
• Endpoint Strichartz estimates
• INHOMOGENEOUS STRICHARTZ ESTIMATES

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