English

Global Analytic Solutions for the Nonlinear Schr\"odinger Equation

Analysis of PDEs 2019-08-06 v3

Abstract

We prove the existence of global analytic solutions to the nonlinear Schr\"odinger equation in one dimension for a certain type of analytic initial data in L2L^2.

Keywords

Cite

@article{arxiv.1903.10437,
  title  = {Global Analytic Solutions for the Nonlinear Schr\"odinger Equation},
  author = {Daniel Oliveira da Silva and Magzhan Biyar},
  journal= {arXiv preprint arXiv:1903.10437},
  year   = {2019}
}

Comments

Corrected errors in proofs in section 4

R2 v1 2026-06-23T08:18:27.557Z