Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres

DOI10.1090/S0002-9947-2014-06162-XzbMath1309.35100arXiv1210.4295OpenAlexW1980414731MaRDI QIDQ5496673

Marco M. Peloso, Valentina Casarino

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4295

zbMATH Keywords

complex spheresSchrödinger equationsublaplacianStrichartz estimatesdispersive estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Harmonic analysis on homogeneous spaces (43A85) A priori estimates in context of PDEs (35B45) Spherical harmonics (33C55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

\(L^p\) joint eigenfunction bounds on quaternionic spheres ⋮ On the norms of quaternionic harmonic projection operators ⋮ Estimates for \(n\)-widths of sets of smooth functions on complex spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The subelliptic heat kernel on the CR sphere
• Invariant tori for the cubic Szegö equation
• Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary
• Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
• Two-parameter estimates for joint spectral projections on complex spheres
• The Yamabe problem on CR manifolds
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Exponential sums and nonlinear Schrödinger equations
• The Laplacian and the Kohn Laplacian for the sphere
• Generalized Strichartz inequalities for the wave equation
• Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
• Solvability of invariant sublaplacians on spheres and group contractions
• L ^p -summability of Riesz means for the sublaplacian on complex spheres
• Spectral multipliers for the Kohn sublaplacian on the sphere in $\mathbb{C}^{n}$
• The cubic Szegő equation
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Transferring L^peigenfunction bounds from S²ⁿ⁺¹to hⁿ
• The Fefferman Metric and Pseudohermitian Invariants
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Spherical Harmonic Expansion of the Poisson-Szego Kernel for the Ball
• Endpoint Strichartz estimates
• Inclusions de sobolev en calcul de weyl-hörmander et champs de vecteurs sous-elliptiques
• Norms of Complex Harmonic Projection Operators
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
• Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques
• Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
• Equations d'ondes quasilineaires et estimations de Strichartz
• Newton polygons as lattice points
• Littlewood-Paley decompositions on manifolds with ends
• On Strichartz estimates for Schrödinger operators in compact manifolds with boundary
• Analysis of the Hodge Laplacian on the Heisenberg group
• The Tangential Cauchy-Riemann Complex on Spheres
• Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations
• Besov spaces and Strichartz estimates on the Heisenberg group

This page was built for publication: Strichartz estimates for the Schrödinger equation for the sublaplacian on complex spheres