On the blow-up of solutions of a system of nonlinear Schrödinger equations
type: Item
instance of: scholarly article
title: On the blow-up of solutions of a system of nonlinear Schrödinger equations
zbMATH Open document ID: 0858.35015
DOI: 10.1007/BF02341492
author: Yanyan Li
published in: Lithuanian Mathematical Journal
publication date: 1996-10-29T00:00:00Z
review text: The author proves that, under several conditions on the initial value and parameters, a solution of the nonlinear system of Schrödinger equations \[ {{\partial u_k}\over{\partial t}}=ia_k\Delta u_k+f_k(u,\overline{u}), \qquad x\in\mathbb{R}^n, \quad t\geq0, \quad k=1,\dots,m \] blows up in a finite time.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 939519
zbMATH Keywords: blow-up
MaRDI profile type: Publication
cites work: Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
cites work: On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
cites work: On uniqueness and continuation properties after blow‐up time of self‐similar solutions of nonlinear schrödinger equation with critical exponent and critical mass
cites work: On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
cites work: Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity
cites work: Q3363777
cites work: Solvability of a mixed problem for a nonlinear system of equations of Schrödinger type
cites work: Q3811012
full work available at URL: https://doi.org/10.1007/bf02341492
OpenAlex ID: W4236962737
description: scientific article; zbMATH DE number 939519