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

Volume 40 / 2013

Jing Lu Applicationes Mathematicae 40 (2013), 183-196 MSC: Primary 35Q55. DOI: 10.4064/am40-2-3

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].

Authors

  • Jing LuChina Academy of Engineering Physics
    P.O. Box 2101
    Beijing, China, 100088
    e-mail

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