Universal Upper Bound on the Blowup Rate of Nonlinear Schrödinger Equation with Rotation

Yi Hu, Christopher Leonard, Shijun Zheng

Research output: Contribution to book or proceedingChapterpeer-review

3 Scopus citations

Abstract

In this chapter, we prove a universal upper bound on the blowup rate of a focusing nonlinear Schrödinger equation with an angular momentum under a trapping harmonic potential, assuming that the initial data is radially symmetric in the weighted Sobolev space. The nonlinearity is in the mass supercritical and energy subcritical regime. Numerical simulations are also presented.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherBirkhauser
Pages59-76
Number of pages18
DOIs
StatePublished - 2021

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

Scopus Subject Areas

  • Applied Mathematics

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