On pointwise convergence of schrödinger means

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August undefined, 2024

Web1 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. WebFinally, we show the stochastic continuity of Schrödinger equation with random data in $\hat{L}^{r}(\mathbb{R}^n)(2\leq r<\infty)$ almost surely. The main ingredients are Lemmas 2.4, 2.5, 3.2-3.4. In this paper, we consider the convergence problem of …

On Pointwise Convergence Of Schrödinger Means Request PDF

Web16 de jun. de 2024 · The goal of this note is to establish non-tangential convergence results for Schrödinger operators along restricted curves. We consider the relationship between the dimension of this kind of approach region and the regularity for the initial data which implies convergence. 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. how and when to prune lupins

Pointwise convergence of sequential Schrödinger 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 … WebCorpus ID: 182952408; On pointwise convergence of Schr\"odinger means @article{Dimou2024OnPC, title={On pointwise convergence of Schr\"odinger means}, … WebMathematika 66 (2024) 356–372 doi:10.1112/mtk.12025 ON POINTWISE CONVERGENCE OF SCHRÖDINGER MEANS EVANGELOS DIMOU AND ANDREAS SEEGER Abstract. … how many hours is 3400 minutes

[1906.03727] On pointwise convergence of Schrödinger means

CONVERGENCE OF THE FOURIER SERIES - University of Chicago

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 Web30 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 … how many hours is 340 minsWebIn 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. how and when to prune little lime hydrangeas

"Web29 de jun. de 2024 · We consider the pointwise convergence problem for the solution of Schrödinger-type equations along directions determined by a given compact subset of the real line. This problem contains Carleson’s problem as the simplest case and was studied in general by Cho et al. " - On pointwise convergence of schrödinger means

On pointwise convergence of schrödinger means

Web1 de mar. de 2024 · Almost everywhere convergence on the solution of Schrödinger equation is an important problem raised by Carleson, which was essentially solved by Du … Web11 de abr. de 2024 · On pointwise convergence of Schrödinger means. Mathematika 66 , 356–372 (2024) Article MathSciNet MATH Google Scholar

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

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 · We investigate the pointwise convergence of the solution to the fractional Schrödinger equation in . By establishing estimates for the associated maximal operator provided that , we improve the previous result obtained by Miao, Yang, and Zheng.

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 … Web1 de abr. de 2024 · Request PDF On Pointwise Convergence Of Schrödinger Means For functions in the Sobolev space Hs and decreasing sequences tn→0 we examine …

Web19 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} }

WebFor functions in the Sobolev space Hs and decreasing sequences tn→0 we examine convergence almost everywhere of the generalized Schrödinger means on the real line, given by how and when to prune lavender bushesWebadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A how many hours is 344 minutesWeb1 de ago. de 2024 · For functions in the Sobolev space Hs and decreasing sequences tn→0 we examine convergence almost everywhere of the generalized Schrödinger means … how many hours is 345 daysWebLegend Limited access: U-M users only Access by request Access by request how and when to prune mugo pinesWeb17 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 … how many hours is 3 400WebLegend Limited access: U-M users only how many hours is 3:30 to 11Web15 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 how many hours is 341 minutes