English

Sharp blow-up result for the intercritical Inhomogeneous NLS equation

Analysis of PDEs 2023-08-08 v3

Abstract

In this paper, we consider the intercritical inhomogeneous nonlinear Schr\"odinger equation. For the radial symmetry initial data, we construct the ring blow-up solutions and obtain blow-up speed. This result implies that the upper bound on the blow-up speed given by Cardoso and Farah [J. Funct. Anal.,281(8) No. 109134, (2021)] is sharp.

Keywords

Cite

@article{arxiv.2208.11583,
  title  = {Sharp blow-up result for the intercritical Inhomogeneous NLS equation},
  author = {Yuan Li},
  journal= {arXiv preprint arXiv:2208.11583},
  year   = {2023}
}

Comments

This is the new version. arXiv admin note: text overlap with arXiv:1202.5218 by other authors