A sharp regularity estimate for the Schrödinger propagator on the sphere
From MaRDI portal
Publication:2145840
DOI10.1016/j.matpur.2022.05.010zbMath1491.35154arXiv2012.06313OpenAlexW3110659066WikidataQ114148560 ScholiaQ114148560MaRDI QIDQ2145840
Publication date: 15 June 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.06313
Smoothness and regularity of solutions to PDEs (35B65) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the Schrödinger maximal function
- Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces
- A local smoothing estimate for the Schrödinger equation
- Regularity of solutions to the Schrödinger equation
- Propagation of singularities and maximal functions in the plane
- Parabolic maximal functions associated with a distribution. II
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Plancherel-type estimates and sharp spectral multipliers
- The Schrödinger equation on spheres.
- Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
- Sharp Strichartz estimates for the Schrödinger equation on the sphere
- A sharp square function estimate for the cone in \(\mathbb{R}^3\)
- Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds
- Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
- The proof of the \(l^2\) decoupling conjecture
- A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
- On the Schrödinger maximal function in higher dimension
- Pointwise convergence of solutions to Schr\"odinger equations
- Local Smoothing Properties of Dispersive Equations
- Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
- On Fourier coefficients and transforms of functions of two variables
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
- Pointwise Convergence of Solutions to the Schrödinger Equation on Manifolds
- Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations
- Square function estimates and local smoothing for Fourier integral operators
This page was built for publication: A sharp regularity estimate for the Schrödinger propagator on the sphere
