Functions and Analysis

1704 Submissions

[2] viXra:1704.0282 [pdf] submitted on 2017-04-21 20:56:48

The Asymptotic Behavior of Defocusing Nonlinear Schrödinger Equations

Authors: En-Lin Liu
Comments: 6 Pages. Quite trivial research XD

This article is concerned with the scattering problem for the defocusing nonlinear Schrödinger equations (NLS) with a power nonlinear |u|^p u where 2/n < p < 4/n. We show that for any initial data in H^{0,1} x the solution will eventually scatter, i.e. U(-t)u(t) tends to some function u+ as t tends to innity.
Category: Functions and Analysis

[1] viXra:1704.0030 [pdf] submitted on 2017-04-04 03:53:37

Examples of Approximations by Series Based on Derivatives Matching

Authors: Andrej Liptaj
Comments: 11 Pages.

Inspired by Taylor polynomials, several other approximations based on derivative-matching are proposed.
Category: Functions and Analysis