Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential

Jing Lu

Applicationes Mathematicae (2013)

  • Volume: 40, Issue: 2, page 183-196
  • ISSN: 1233-7234

Abstract

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We give a sufficient condition under which the solutions of the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential blow up. The method is a modified variational approach, in the spirit of the work by Ibrahim et al. [Anal. PDE 4 (2011), 405-460].

How to cite

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Jing Lu. "Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential." Applicationes Mathematicae 40.2 (2013): 183-196. <http://eudml.org/doc/280080>.

@article{JingLu2013,
abstract = {We give a sufficient condition under which the solutions of the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential blow up. The method is a modified variational approach, in the spirit of the work by Ibrahim et al. [Anal. PDE 4 (2011), 405-460].},
author = {Jing Lu},
journal = {Applicationes Mathematicae},
keywords = {energy-critical; inverse-square potential; blow-up},
language = {eng},
number = {2},
pages = {183-196},
title = {Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential},
url = {http://eudml.org/doc/280080},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Jing Lu
TI - Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 2
SP - 183
EP - 196
AB - We give a sufficient condition under which the solutions of the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential blow up. The method is a modified variational approach, in the spirit of the work by Ibrahim et al. [Anal. PDE 4 (2011), 405-460].
LA - eng
KW - energy-critical; inverse-square potential; blow-up
UR - http://eudml.org/doc/280080
ER -

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