On pointwise convergence of schrödinger means
Web1 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 … 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 …
On pointwise convergence of schrödinger means
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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 … Web6 de nov. de 2024 · Pointwise Convergence of the Schrödinger Flow. International Mathematics Research Notices, Vol. 2024, Issue. 1, p. 596. CrossRef; Google Scholar; Lee, Jungjin 2024. Global Kato Type Smoothing Estimates via …
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 ... 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.
Web9 de jun. de 2024 · Title: On pointwise convergence of Schrödinger means. Authors: Evangelos Dimou, Andreas Seeger. Download PDF Web3 de mar. de 2024 · We consider Carleson's problem regarding pointwise convergence for the Schrödinger equation. Bourgain recently proved that there is initial data, in with , for …
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Web11 de abr. de 2024 · We study pointwise convergence of the fractional Schrödinger means along sequences tn\documentclass[12pt]{minimal} \usepackage{amsmath} … fish varietiesWeb11 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} candy kitchen taffyWebCorpus ID: 182952408; On pointwise convergence of Schr\"odinger means @article{Dimou2024OnPC, title={On pointwise convergence of Schr\"odinger means}, … fish vanityWebOur 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. fish varieties namesWeb1 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. candy kitten second lifeWeb19 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} } fish varieties to eatWebIn 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. candy kits from japan