Maximizers for the Strichartz norm for small solutions of mass-critical NLS

DOI10.2422/2036-2145.2011.2.08zbMath1247.35142arXiv1007.0297OpenAlexW2964121210MaRDI QIDQ3095139

Svetlana Roudenko, Thomas Duyckaerts, Frank Merle

Publication date: 28 October 2011

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0297

zbMATH Keywords

nonlinear Schrödinger equationsStrichartz inequalitymaximizers

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Some recent progress on sharp Fourier restriction theory ⋮ Sharp Morawetz estimates ⋮ A sharpened Strichartz inequality for the wave equation ⋮ A sharpened energy‐Strichartz inequality for the wave equation ⋮ A refinement of the Strichartz inequality for the wave equation with applications ⋮ Extremizers for Fourier restriction inequalities: convex arcs ⋮ Nonlinear profile decomposition for the \(\dot{H}^{\frac{1}{2}} \times \dot{H}^{- \frac{1}{2}}(\mathbb{R}^d)\) energy subcritical wave equation

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