A refinement of the Strichartz inequality on the saddle and applications

DOI10.1016/j.jfa.2006.04.026zbMath1111.35085OpenAlexW1973556430MaRDI QIDQ860799

Keith M. Rogers, Ana M. Vargas

Publication date: 9 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.04.026

zbMATH Keywords

collapseFourier transformnonlinear Schrödinger equationmass concentration

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

On Mass Concentration for theL²-Critical Nonlinear Schrödinger Equations ⋮ Refined mass-critical Strichartz estimates for Schrödinger operators ⋮ Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids ⋮ A refinement of the Strichartz inequality for the wave equation with applications ⋮ WKB analysis of nonelliptic nonlinear Schrödinger equations ⋮ Existence of maximizers for Sobolev-Strichartz inequalities ⋮ Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation ⋮ Nonlinear profile decomposition for the \(\dot{H}^{\frac{1}{2}} \times \dot{H}^{- \frac{1}{2}}(\mathbb{R}^d)\) energy subcritical wave equation ⋮ Mass-critical inverse Strichartz theorems for 1d Schrödinger operators ⋮ MASS CONCENTRATION WITH MIXED NORM FOR A NONELLIPTIC SCHRÖDINGER EQUATION

Cites Work

• Averages over hypersurfaces. Smoothness of generalized Radon transforms
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Restriction theorems for a surface with negative curvature
• Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\)
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case
• Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation
• On three-dimensional packets of surface waves
• Bilinear restriction estimates for surfaces with curvatures of different signs
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