An upbound of Hausdorff's dimension of the divergence set of the fractional Schrödinger operator on \(H^s(\mathbb{R}^n)\)
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Publication:2156058
DOI10.1007/s10473-021-0412-xOpenAlexW3169015325MaRDI QIDQ2156058
Publication date: 15 July 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.09688
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Fractional derivatives and integrals (26A33) Schrödinger operator, Schrödinger equation (35J10) Harmonic analysis and PDEs (42B37)
Cites Work
- A note on the Schrödinger maximal function
- Coherence on fractals versus pointwise convergence for the Schrödinger equation
- On the dimension of divergence sets of dispersive equations
- Remarks on some dispersive estimates
- The Schrödinger equation along curves and the quantum harmonic oscillator
- Regularity of solutions to the Schrödinger equation
- A sharp bilinear restriction estimate for paraboloids
- Singular sets of Sobolev functions
- Average decay of the Fourier transform of measures with applications
- Problems on pointwise convergence of solutions to the Schrödinger equation
- A bilinear approach to cone multipliers. II: Applications
- 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 \(\mathbb{R}^2\)
- Strichartz estimates for the fractional Schrödinger and wave equations on compact manifolds without boundary
- On the Schrödinger maximal function in higher dimension
- An improved maximal inequality for 2D fractional order Schrödinger operators
- A note on pointwise convergence for the 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
- POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
- Nonlocalization of operators of Schrödinger type
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