Local smoothing estimates of fractional Schrödinger equations in \(\alpha\)-modulation spaces with some applications
From MaRDI portal
Publication:6168192
DOI10.1007/S00028-023-00891-1zbMath1518.35638arXiv2208.06596OpenAlexW4376105702MaRDI QIDQ6168192
Publication date: 10 July 2023
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.06596
A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp estimates of unimodular multipliers on frequency decomposition spaces
- Remarks on the unimodular Fourier multipliers on \(\alpha \)-modulation spaces
- \(\alpha\)-modulation spaces. I. Scaling, embedding and algebraic properties
- The inclusion relations between \(\alpha\)-modulation spaces and \(L^{p}\)-Sobolev spaces or local Hardy spaces
- The inclusion relation between Sobolev and modulation spaces
- Strichartz estimates in the frame of modulation spaces
- Banach frames for \(\alpha\)-modulation spaces
- Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
- Unimodular Fourier multipliers for modulation spaces
- A local smoothing estimate for the Schrödinger equation
- A local smoothing estimate in higher dimensions.
- Foundations of time-frequency analysis
- Local smoothing type estimates on \(L^p\) for large \(p\)
- Full characterization of the embedding relations between \(\alpha\)-modulation spaces
- Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
- Sharp embedding relations between local Hardy and \(\alpha\)-modulation spaces
- On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data
- Wellposedness of NLS in modulation spaces
- A sharp square function estimate for the cone in \(\mathbb{R}^3\)
- Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem
- The global Cauchy problems for the nonlinear dispersive equations on modulation spaces
- The proof of the \(l^2\) decoupling conjecture
- Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials
- Banach frames for multivariate \(\alpha\)-modulation spaces
- On the \(L^2\)-boundedness of pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces
- Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
- Global well-posedness of the Cauchy problem for nonlinear Schrödinger-type equations
- A note on local smoothing estimates for fractional Schrödinger equations
- Endpoint maximal and smoothing estimates for Schrödinger equations
- Estimates for unimodular Fourier multipliers on modulation spaces
- Banach Spaces of Distributions Defined by Decomposition Methods, I
- Banach Spaces of Distributions Defined by Decomposition Methods II
- Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in L p-based Sobolev spaces
- Improved local smoothing estimates for the fractional Schrödinger operator
This page was built for publication: Local smoothing estimates of fractional Schrödinger equations in \(\alpha\)-modulation spaces with some applications
