POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES

From MaRDI portal
Publication:4580241

DOI10.1017/fms.2018.11zbMath1395.42063arXiv1803.01720OpenAlexW2963221946MaRDI QIDQ4580241

Ruixiang Zhang, Xiumin Du, Xiaochun Li, Lawrence Guth

Publication date: 14 August 2018

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01720




Related Items (29)

Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random dataConvergence problem of Ostrovsky equation with rough data and random dataPointwise convergence over fractals for dispersive equations with homogeneous symbolConvergence problem of the Kawahara equation on the real lineAn upbound of Hausdorff's dimension of the divergence set of the fractional Schrödinger operator on \(H^s(\mathbb{R}^n)\)On 4-order Schrödinger operator and beam operatorConvergence of a class of Schrödinger equationsSome convergence problems regarding the fractional Schrödinger propagator on noncompact manifoldsWeighted Fourier extension estimates and applicationsConvergence problem of Schrödinger equation and wave equation in low regularity spacesGeneralizations of the Schrödinger maximal operator: building arithmetic counterexamplesFourier decay of fractal measures on surfaces of co-dimension two in \(\mathbb{R}^5\)A Carleson problem for the Boussinesq operatorSharp pointwise convergence on the Schrödinger operator along one class of curvesFourier decay of fractal measures on hyperboloidsUnnamed ItemA note on the refined Strichartz estimates and maximal extension operatorPointwise convergence along a tangential curve for the fractional Schrödinger equationOn Falconer's distance set problem in the planeGlobal Kato type smoothing estimates via local ones for dispersive equationsConvergence problem of Schrödinger equation in Fourier-Lebesgue spaces with rough data and random dataGlobal maximal inequality to a class of oscillatory integrals\(L^p\)-estimate of Schrödinger maximal function in higher dimensionsSharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensionsProbabilistic pointwise convergence problem of Schrödinger equations on manifoldsPointwise convergence of the fractional Schrödinger equation in \(\mathbb{R}^2\)Maximal estimates for Weyl sums on \(\mathbb{T}^d\) (with an appendix by Alex Barron)Convergence over fractals for the periodic Schrödinger equationConvergence over fractals for the Schroedinger equation



Cites Work


This page was built for publication: POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES