On pointwise convergence of schrödinger means
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 … Web19 de jul. de 2024 · We study pointwise convergence of the fractional Schrödinger means along sequences which converge to zero. Our main result is that bounds on the …
On pointwise convergence of schrödinger means
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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} \usepackage{wasysym} \usepackage{amsfonts} 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
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 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 ...
Web9 de jun. de 2024 · Title: On pointwise convergence of Schrödinger means. Authors: Evangelos Dimou, Andreas Seeger. Download PDF Web11 de abr. de 2024 · On pointwise convergence of Schrödinger means. Mathematika 66 , 356–372 (2024) Article MathSciNet MATH Google Scholar
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.
Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A fm construction east orangeWebWe 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 … fm concept challansWeb3 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. fm companies walesWeb1 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. fm consulting k�lsheimWeb29 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. greensboro oakwood squareWeb9 de jun. de 2024 · On pointwise convergence of Schrödinger means. For functions in the Sobolev space and decreasing sequences we examine convergence almost … f m consultingWeb4 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 … greensboro ob/gyn associates