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 ] Webadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A

Pointwise Convergence of the Fractional Schrödinger Equation …

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. 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 ... citing a youtube video apa style

[1906.03727v1] On pointwise convergence of Schrödinger means

WebWe 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 … 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 … citing a youtube video apa format