On pointwise convergence of schrödinger means
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. 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 ...
On pointwise convergence of schrödinger means
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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. Web1 de mar. de 2024 · Semantic Scholar extracted view of "Convergence of sequences of Schrödinger means" by P. Sjölin et al. Skip to search form Skip to main content Skip to …
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} } 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
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 … 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 …
WebLegend Limited access: U-M users only Access by request Access by request the created pdfWeb3 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. the created legalWeb17 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 … the creately teamWebWe 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 … the created haloWeb11 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} the creatics karachiWebIn 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. the createryWebCorpus ID: 182952408; On pointwise convergence of Schr\"odinger means @article{Dimou2024OnPC, title={On pointwise convergence of Schr\"odinger means}, … the createyou studio