Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential
Tom 40 / 2013
Applicationes Mathematicae 40 (2013), 183-196
MSC: Primary 35Q55.
DOI: 10.4064/am40-2-3
Streszczenie
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].