Some recent progress on sharp Fourier restriction theory
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Publication:1677619
DOI10.1007/s10476-017-0306-2zbMath1389.42016arXiv1701.06895OpenAlexW2580078404MaRDI QIDQ1677619
Damiano Foschi, Diogo Oliveira e Silva
Publication date: 10 November 2017
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.06895
Related Items (25)
Existence of extremizers for Fourier restriction to the moment curve ⋮ Sharp mixed norm spherical restriction ⋮ Extremizers for adjoint restriction to pairs of translated paraboloids ⋮ Intermittent symmetry breaking and stability of the sharp Agmon–Hörmander estimate on the sphere ⋮ On extremizers for Strichartz estimates for higher order Schrödinger equations ⋮ Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere ⋮ Some sharp null-form type estimates for the Klein-Gordon equation ⋮ The Stein-Tomas inequality under the effect of symmetries ⋮ Band-Limited Maximizers for a Fourier Extension Inequality on the Circle, II ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022 ⋮ Extremals for \(\alpha\)-Strichartz inequalities ⋮ Sharp Fourier extension on the circle under arithmetic constraints ⋮ Extremizers for Fourier restriction on hyperboloids ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ Extremizability of Fourier restriction to the paraboloid ⋮ A comparison principle for convolution measures with applications ⋮ Bilinear identities involving thek-plane transform and Fourier extension operators ⋮ Smoothness of solutions of a convolution equation of restricted type on the sphere ⋮ Fourier extension estimates for symmetric functions and applications to nonlinear Helmholtz equations ⋮ Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations ⋮ Unnamed Item ⋮ Sets of \(p\)-restriction and \(p\)-spectral synthesis ⋮ Critical Points of Strichartz Functional ⋮ Maximisers for Strichartz inequalities on the torus ⋮ Strichartz estimates with broken symmetries
Cites Work
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- A sharp Sobolev-Strichartz estimate for the wave equation
- On existence of extremizers for the Tomas-Stein inequality for \(S^{1}\)
- Maximizers for the Stein-Tomas inequality
- Sharp Morawetz estimates
- A refinement of the Strichartz inequality for the wave equation with applications
- On the extremizers of an adjoint Fourier restriction inequality
- A sharp bilinear estimate for the Klein-Gordon equation in arbitrary space-time dimensions.
- Maximizers for the Strichartz inequalities for the wave equation.
- 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 linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality
- Heat-flow monotonicity of Strichartz norms
- On the multilinear restriction and Kakeya conjectures
- Singular integrals, maximal functions and Fourier restriction to spheres: the disk multiplier revisited
- Inequalities in Fourier analysis
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- On the existence of a maximizer for the Strichartz inequality
- Estimates for certain integrals of products of six Bessel functions
- A sharp trilinear inequality related to Fourier restriction on the circle
- A sharp Strichartz estimate for the wave equation with data in the energy space
- Existence of extremals for a Fourier restriction inequality
- Nonexistence of extremizers for certain convex curves
- Extremizers for Fourier restriction inequalities: convex arcs
- Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid
- The proof of the \(l^2\) decoupling conjecture
- Optimal constants and extremisers for some smoothing estimates
- On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type
- Maximizers for the Strichartz inequality
- Global maximizers for the sphere adjoint Fourier restriction inequality
- A Sharp Bilinear Estimate for the Klein–Gordon Equation in ℝ1+1
- Analyticity of extremizers to the Airy-Strichartz inequality
- Some Sharp Restriction Inequalities on the Sphere
- Maximizers for the Strichartz norm for small solutions of mass-critical NLS
- A Sharp Inequality for the Strichartz Norm
- On sharp Strichartz inequalities in low dimensions
- Flow Monotonicity and Strichartz Inequalities
- Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schr\"odinger equation
- Space‐time estimates for null forms and the local existence theorem
- Bilinear space-time estimates for homogeneous wave equations
- On extremizers for Strichartz estimates for higher order Schrödinger equations
- On extremizing sequences for the adjoint restriction inequality on the cone
- On the existence of maximizers for a family of restriction theorems
- Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids
- A restriction theorem for the Fourier transform
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