\(L^2\) Schrödinger maximal estimates associated with finite type phases in \(\mathbb{R}^2\)
From MaRDI portal
Publication:6652639
DOI10.1007/s10114-024-3401-xMaRDI QIDQ6652639
Tengfei Zhao, Zhuoran Li, Junyan Zhao
Publication date: 12 December 2024
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)
Cites Work
- Unnamed Item
- Unnamed Item
- A note on the Schrödinger maximal function
- On the dimension of divergence sets of dispersive equations
- Regularity of solutions to the Schrödinger equation
- Hausdorff dimension, projections, and the Fourier transform
- Problems on pointwise convergence of solutions to the Schrödinger equation
- A restriction estimate for a certain surface of finite type in \(\mathbb{R}^3\)
- Pointwise convergence of the fractional Schrödinger equation in \(\mathbb{R}^2\)
- Pointwise convergence over fractals for dispersive equations with homogeneous symbol
- Uniform \(l^2\)-decoupling in \(\mathbb{R}^2\) for polynomials
- 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 \(\mathbb{R}^2\)
- An improved maximal inequality for 2D fractional order Schrödinger operators
- Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation
- Pointwise convergence of solutions to Schr\"odinger equations
- POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
- ℓ² decoupling in ℝ² for curves with vanishing curvature
- Fourier Analysis and Hausdorff Dimension
- Weighted restriction estimates and application to Falconer distance set problem
- \( \ell^2\) Decoupling for certain surfaces of finite type in \(\mathbb{R}^3\)
- Counterexamples for High-Degree Generalizations of the Schrödinger Maximal Operator
This page was built for publication: \(L^2\) Schrödinger maximal estimates associated with finite type phases in \(\mathbb{R}^2\)
