On pointwise convergence of schrödinger means

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August undefined, 2024

WebOur main theorem is a fractal $L^2$ restriction estimate, which also gives improved results on the size of the divergence set of the Schrödinger solutions, the Falconer distance set problem and the spherical average Fourier decay rates of fractal measures. Web9 de jun. de 2024 · Title:On pointwise convergence of Schrödinger means Authors:Evangelos Dimou, Andreas Seeger Download PDF Abstract:For functions in the …

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Web4 de out. de 2024 · Theorem 2. The function f in theorem A can be chosen so that f \in H_ {\omega }. Theorem 2 shows that the sufficient condition f\in H_ {1/4} for convergence … Web9 de jun. de 2024 · Title: On pointwise convergence of Schrödinger means. Authors: Evangelos Dimou, Andreas Seeger. Download PDF rc roof lights

On pointwise convergence of Schr\"odinger means

WebWe also prove probabilistic pointwise convergence of the solutions to Schrödinger equation with Dirichlet boundary condition for a large set of random initial data in $\cap … Web3 de dez. de 2024 · Therefore, this yields a.e. convergence of S R λ (H) f for f ∈ L p (R n) if λ > λ (p) / 2. The use of weighted L 2 estimate in the study of pointwise convergence for Bochner-Riesz means goes back to Carbery et al. [8]. It turned out that the same strategy is also efficient for similar problems in different settings. Web1 de abr. de 2024 · For functions in the Sobolev space Hs and decreasing sequences tn → 0 we examine convergence almost everywhere of the generalized Schrödinger means … sims kitchen clutter cc

On pointwise convergence of Schrödinger means

CONVERGENCE OF THE FOURIER SERIES - University of Chicago

Web17 de out. de 2024 · The main theorem improves the previous results of [Sjölin, JFAA, 2024] and [Sjölin-Strömberg, JMAA, 2024] in $\mathbb{R}^{2}$. This study is based on … Web10 de set. de 2024 · In this paper, we extend the recent works on the pointwise convergence for the solutions of Schr\"odinger equations due to Du, Guth, Li and Du, Zhang to generalized Schr\"odinger equations. rc rooftop tentWeb15 de out. de 2024 · Sjölin, P.: L p maximal estimates for solutions to the Schrödinger equation. Math. Scand., 81, 35–68 (1997) Article MathSciNet Google Scholar Sogge, C. D.: On the convergence of Riesz means on compact manifolds. Ann. of Math. (2), 126, 439–447 (1987) Article MathSciNet Google Scholar sims kwalificatie

"WebIt may help if you unfold the definition of limit in pointwise convergence. Then pointwise convergence means that for each x and ϵ you can find an N such that (bla bla bla). Here the N is allowed to depend both on x and ϵ. In uniform … " - On pointwise convergence of schrödinger means

On pointwise convergence of schrödinger means

A Note on Non-tangential Convergence for Schrödinger Operators

Web20 de nov. de 2024 · Wenjuan Li, Huiju Wang, Dunyan Yan We consider pointwise convergence of nonelliptic Schrödinger means for and decreasing sequences converging to zero, where We prove that when , holds for all if and only if , . Moreover, our result remains valid in general dimensions. Submission history From: Huiju Wang [ view email ] Web4. Convergence using the Abel mean The issues surrounding the convergence of the Fourier series are not straight-forward. The Fourier series of a function integrable on [ ˇ;ˇ] does not converge pointwise to the function itself since the derivation of Fourier coe cients is done through integration. For example, consider this piecewise-de ned ...

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WebIn this paper, we investigate the probabilistic pointwise convergence problem of Schrödinger equation on the manifolds. We prove probabilistic pointwise convergence of the solutions to Schrödinger equations with the initial data in L 2 ( T n), where T = [ 0, 2 π), which require much less regularity for the initial data than the rough data case. Web11 de abr. de 2024 · On pointwise convergence of Schrödinger means. Mathematika 66 , 356–372 (2024) Article MathSciNet MATH Google Scholar

Web9 de jun. de 2024 · On pointwise convergence of Schrödinger means. For functions in the Sobolev space and decreasing sequences we examine convergence almost … Web14 de jul. de 2016 · Vega L.: Schrödinger equations: pointwise convergence to the initial data. Proc. Am. Math. Soc. 102(4), 874–878 (1988) MATH Google Scholar Yajima K.: Existence of solutions for Schrödinger evolution equations. Commun. Math. Phys. 110(3), 415–426 (1987) Article ADS MATH Google Scholar

Web16 de out. de 2024 · For functions in the Sobolev space Hs and decreasing sequences tn→0 we examine convergence almost everywhere of the generalized Schrödinger means … Web4 de out. de 2024 · Sharp convergence for sequences of Schr\" {o}dinger means and related generalizations. For decreasing sequences { t n } ∞ n =1 converging to zero, we …

Web11 de abr. de 2024 · We study pointwise convergence of the fractional Schrödinger means along sequences tn\documentclass[12pt]{minimal} \usepackage{amsmath} …

Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A sims lane huntington beach caWebMathematika 66 (2024) 356–372 doi:10.1112/mtk.12025 ON POINTWISE CONVERGENCE OF SCHRÖDINGER MEANS EVANGELOS DIMOU AND ANDREAS SEEGER Abstract. … rcr pause and checkWeb30 de mar. de 2024 · here a > 0, a ≠ 1. For decreasing convex sequences we obtain a simple characterization of convergence a.e. for all functions in H s when 0 < s < lim min {} { a / 4, 1 / 4 } and a ≠ 1. We prove sharp quantitative local and global estimates for the … sims know everyone cheatWeb1 de jan. de 2024 · In view of the pointwise convergence problem, the case of the fractional Schrödinger equations are of interest in their own right. sims kids furniture ccWeb19 de jul. de 2024 · Pointwise convergence of sequential Schrödinger means @article{Cho2024PointwiseCO, title={Pointwise convergence of sequential Schr{\"o}dinger means}, author={Chu-hee Cho and Hyerim Ko and Youngwoo Koh and Sanghyuk Lee}, journal={Journal of Inequalities and Applications}, year={2024}, volume={2024} } sims knitting packWebCorpus ID: 182952408; On pointwise convergence of Schr\"odinger means @article{Dimou2024OnPC, title={On pointwise convergence of Schr\"odinger means}, … rcrp hobo lifeWeb17 de out. de 2024 · Abstract: We consider pointwise convergence of Schrödinger means $e^{it_{n}\Delta}f(x)$ for $f \in H^{s}(\mathbb{R}^{2})$ and decreasing sequences … rcrp money hack