On pointwise convergence of schrödinger means
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. 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.
On pointwise convergence of schrödinger means
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WebMathematika 66 (2024) 356–372 doi:10.1112/mtk.12025 ON POINTWISE CONVERGENCE OF SCHRÖDINGER MEANS EVANGELOS DIMOU AND ANDREAS SEEGER Abstract. …
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 ] 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.
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 … WebLegend Limited access: U-M users only
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.
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 hoji pro tour recensioneWebFinally, 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 … hojin chang realtor orange countyWeb4 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 … hoji shinbun digital collectionWeb4 de out. de 2024 · Sharp convergence for sequences of Schr\" {o}dinger means and related generalizations. For decreasing sequences { t n } ∞ n =1 converging to zero, we … hojiro drawing referenceWeb1 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 … hojiwala health centerWebLegend Limited access: U-M users only Access by request Access by request hojicha red bean frappeWeb4. 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 ... hojo cattle