Sharp Fourier extension on fractional surfaces

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)

Cites Work

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On existence of extremizers for the Tomas-Stein inequality for $S^{1}$
Maximizers for the Stein-Tomas inequality
A refinement of the Strichartz inequality for the wave equation with applications
Existence of maximizers for Sobolev-Strichartz inequalities
The linear profile decomposition for the fourth order Schrödinger equation
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
The concentration-compactness principle in the calculus of variations. The locally compact case. I
The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality
The concentration-compactness principle in the calculus of variations. The locally compact case. II
A pseudoconformal compactification of the nonlinear Schrödinger equation and applications
On the existence of a maximizer for the Strichartz inequality
A sharp bilinear restriction estimate for paraboloids
Extremizers for the Airy-Strichartz inequality
Some recent progress on sharp Fourier restriction theory
Extremizers for Fourier restriction on hyperboloids
Existence of extremals for a Fourier restriction inequality
Extremizability of Fourier restriction to the paraboloid
Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations
Maximizers for the Strichartz inequality
Global maximizers for the sphere adjoint Fourier restriction inequality
Extremals for $\alpha$-Strichartz inequalities
Analyticity of extremizers to the Airy-Strichartz inequality
Scattering for the cubic Klein–Gordon equation in two space dimensions
A stationary phase type estimate
A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
A Sharp Inequality for the Strichartz Norm
On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case
On sharp Strichartz inequalities in low dimensions
Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation
Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schr\"odinger equation
A bilinear approach to the restriction and Kakeya conjectures
High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
On extremizers for Strichartz estimates for higher order Schrödinger equations
Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case
On the existence of maximizers for a family of restriction theorems
Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids
Existence of extremizers for Fourier restriction to the moment curve
On the defect of compactness for the Strichartz estimates of the Schrödinger equations
When does e^−/τ/ maximize Fourier extension for a conic section?

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