On pointwise convergence of schrödinger means
Web1 de jan. de 2006 · Abstract. We study the almost everywhere convergence of the solutions to Schrödinger equations in ℛ 2.It is shown that lim t→0 e itΔ f = f almost everywhere for all f ∈ H s if s > 3/8. 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
On pointwise convergence of schrödinger means
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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. 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.
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.
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 ] Web15 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
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.
Web19 de jul. de 2024 · Pointwise convergence of sequential Schrödinger means @article{Cho2024PointwiseCO, title={Pointwise convergence of sequential … dying apple treeWeb11 de abr. de 2024 · On pointwise convergence of Schrödinger means. Mathematika 66 , 356–372 (2024) Article MathSciNet MATH Google Scholar crystal range associatesWebIn 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. dying antron fleece with rit dyeWeb1 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 … dying an upholstered chairWebWe 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 … dying archaeologist searing gorgeWebCorpus ID: 182952408; On pointwise convergence of Schr\"odinger means @article{Dimou2024OnPC, title={On pointwise convergence of Schr\"odinger means}, … dying appliances pulling more powerWebMathematika 66 (2024) 356–372 doi:10.1112/mtk.12025 ON POINTWISE CONVERGENCE OF SCHRÖDINGER MEANS EVANGELOS DIMOU AND ANDREAS SEEGER Abstract. … crystal randomizer pokemon