Found 67 Documents (Results 1–67)
Existence of extremals for a Fourier restriction inequality on the one-sheeted hyperboloid. (English) Zbl 07905064
Sharp restriction theory. (English) Zbl 07900717
MSC:
42B10
A sharpened Strichartz inequality for the wave equation. (Une inégalité de Strichartz précisée pour l’équation des ondes.) (English. French summary) Zbl 1536.35112
Lieb-Thirring inequalities and other functional inequalities for orthonormal systems. (English) Zbl 07823084
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3756-3774 (2023).
A new proof of Strichartz estimates for the Schrödinger equation in \(2+1\) dimensions. (English) Zbl 1532.42017
Ruiz, Patricia Alonso (ed.) et al., From classical analysis to analysis on fractals. A tribute to Robert Strichartz. Volume 1. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 19-42 (2023).
MSC:
42B10
A sharpened energy-Strichartz inequality for the wave equation. (English) Zbl 1529.35100
Reviewer: Jiqiang Zheng (Beijing)
Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3–9, 2022. (English) Zbl 1520.00024
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere. (English) Zbl 1497.35017
Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids. (English) Zbl 1512.42014
Reviewer: Hussain Al-Qassem (Doha)
Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes. (English) Zbl 1479.83019
Numerical solutions for one and two dimensional nonlinear problems related to dispersion managed solitons. (English) Zbl 1469.78052
Bilinear identities involving the \(k\)-plane transform and Fourier extension operators. (English) Zbl 1459.42036
Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations. (English) Zbl 1435.35015
Generating monotone quantities for the heat equation. (English) Zbl 1442.35170
Reviewer: Ti-Jun Xiao (Fudan)
Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schrödinger equation with harmonic trapping. (English) Zbl 1428.35508
A sharpened Strichartz inequality for radial functions. (English) Zbl 1409.42018
Reviewer: Dong Dong (College Park)
Sharp mixed norm spherical restriction. (English) Zbl 1412.42030
Reviewer: Ruixiang Zhang (Princeton)
MSC:
42B10
Nonlinear profile decomposition for the \(\dot{H}^{\frac{1}{2}} \times \dot{H}^{- \frac{1}{2}}(\mathbb{R}^d)\) energy subcritical wave equation. (English) Zbl 1420.35164
On extremizers for Strichartz estimates for higher order Schrödinger equations. (English) Zbl 1395.42018
MSC:
42B10
A sharp \(k\)-plane Strichartz inequality for the Schrödinger equation. (English) Zbl 1393.42026
Reviewer: Michael Perelmuter (Kyïv)
Why do solutions of the Maxwell-Boltzmann equation tend to be Gaussians? A simple answer. (English) Zbl 1377.39035
Some recent progress on sharp Fourier restriction theory. (English) Zbl 1389.42016
Reviewer: D. K. Ugulawa (Tbilisi)
MSC:
42B10
Optimal constants and extremisers for some smoothing estimates. (English) Zbl 1379.35274
Reviewer: Anthony D. Osborne (Keele)
Thresholds for existence of dispersion management solitons for general nonlinearities. (English) Zbl 1432.35184
Hilbert transform along measurable vector fields constant on Lipschitz curves: \(L^p\) boundedness. (English) Zbl 1356.42007
Reviewer: Yasuo Komori-Furuya (Kanagawa)
Maximizers for the Stein-Tomas inequality. (English) Zbl 1357.42023
Reviewer: Elijah Liflyand (Ramat-Gan)
The maximal Strichartz family of Gaussian distributions: Fisher information, index of dispersion, and stochastic ordering. (English) Zbl 1386.60064
The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation. (English) Zbl 1364.35332
Reviewer: François Genoud (Delft)
On existence of extremizers for the Tomas-Stein inequality for \(S^{1}\). (English) Zbl 1339.42011
Reviewer: Oscar Blasco (Valencia)
MSC:
42B10
Exponential decay of dispersion-managed solitons for general dispersion profiles. (English) Zbl 1333.35261
Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid. (English) Zbl 1318.42009
MSC:
42B10
The sharp Strichartz and Sobolev-Strichartz inequalities for the fourth-order Schrödinger equation. (English) Zbl 1320.35105
Global maximizers for the sphere adjoint Fourier restriction inequality. (English) Zbl 1311.42019
MSC:
42B10
Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems. (English) Zbl 1320.46026
Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. (English) Zbl 1285.26035
Reviewer: Cristinel Mortici (Târgovişte)
Sharp Morawetz estimates. (English) Zbl 1282.35017
On restricting Cauchy-Pexider functional equations to submanifolds. (English) Zbl 1281.39021
Reviewer: Bruce Ebanks (Mississippi State)
On the extremizers of an adjoint Fourier restriction inequality. (English) Zbl 1258.35007
Reviewer: Lijing Sun (Milwaukee)
On non-local variational problems with lack of compactness related to non-linear optics. (English) Zbl 1244.49008
A refinement of the Strichartz inequality for the wave equation with applications. (English) Zbl 1290.35150
Reviewer: Chengbo Wang (Hangzhou)
Smoothness of extremizers of a convolution inequality. (English. French summary) Zbl 1234.42010
Reviewer: Teodora-Liliana Rădulescu (Craiova)
The linear profile decomposition for the fourth order Schrödinger equation. (English) Zbl 1203.35263
Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation. (English) Zbl 1173.35686
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