Pointwise convergence along restricted directions for the fractional Schrödinger equation
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Publication:785897
DOI10.1007/s00041-020-09760-8zbMath1446.35158arXiv1903.02356OpenAlexW3040489338MaRDI QIDQ785897
Publication date: 12 August 2020
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.02356
Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (7)
Pointwise convergence along a tangential curve for the fractional Schrödinger equation with 0 < m < 1 ⋮ Pointwise convergence along a tangential curve for the fractional Schrödinger equation ⋮ Pointwise convergence along non-tangential direction for the Schrödinger equation with complex time ⋮ A note on non-tangential convergence for Schrödinger operators ⋮ Maximal estimates for the Schrödinger equation with orthonormal initial data ⋮ Maximal estimates for Weyl sums on \(\mathbb{T}^d\) (with an appendix by Alex Barron) ⋮ A Note on the Convergence of the Schrodinger Operator along Curve
Cites Work
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- Nonlinear fractional Schrödinger equations in one dimension
- A note on the Schrödinger maximal function
- Remark on the Strichartz estimates in the radial case
- On fractional Schrödinger equations in Sobolev spaces
- On inhomogeneous Strichartz estimates for fractional Schrödinger equations and their applications
- Sharp estimates for maximal operators associated to the wave equation
- The cubic fourth-order Schrödinger equation
- Regularity of solutions to the Schrödinger equation
- Radial functions and regularity of solutions to the Schrödinger equation
- Fractional quantum mechanics and Lévy path integrals
- Problems on pointwise convergence of solutions to the Schrödinger equation
- On the boundary Strichartz estimates for wave and Schrödinger equations
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
- A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
- On the Schrödinger maximal function in higher dimension
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- Pointwise convergence of solutions to Schr\"odinger equations
- Convergence properties for the time-dependent Schrödinger equation
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- Local Smoothing Properties of Dispersive Equations
- Strichartz estimates in spherical coordinates
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