Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids

DOI10.1090/proc/15782OpenAlexW2991467534WikidataQ115546054 ScholiaQ115546054MaRDI QIDQ5097326

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Publication date: 23 August 2022

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

Full work available at URL: https://arxiv.org/abs/1911.11796

zbMATH Keywords

critical pointsStrichartz estimatesextremizersGaussiansFourier restrictionhyperbolic paraboloid

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities for sums, series and integrals (26D15) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Cites Work

• The profile decomposition for the hyperbolic Schrödinger equation
• A refinement of the Strichartz inequality on the saddle and applications
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Restriction theorems for a surface with negative curvature
• Maximizers for the Strichartz inequality
• On sharp Strichartz inequalities in low dimensions
• Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids

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