Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential
Applicationes Mathematicae, Tome 40 (2013) no. 2, pp. 183-196
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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].
DOI :
10.4064/am40-2-3
Keywords:
sufficient condition under which solutions energy critical nonlinear wave equation schr dinger equation inverse square potential blow method modified variational approach spirit work ibrahim anal pde
Affiliations des auteurs :
Jing Lu 1
@article{10_4064_am40_2_3,
author = {Jing Lu},
title = {Blow-up for the energy-critical nonlinear wave equation and {Schr\"odinger} equation with inverse-square potential},
journal = {Applicationes Mathematicae},
pages = {183--196},
year = {2013},
volume = {40},
number = {2},
doi = {10.4064/am40-2-3},
zbl = {1283.35127},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am40-2-3/}
}
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%0 Journal Article %A Jing Lu %T Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential %J Applicationes Mathematicae %D 2013 %P 183-196 %V 40 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/am40-2-3/ %R 10.4064/am40-2-3 %G en %F 10_4064_am40_2_3
Jing Lu. Blow-up for the energy-critical nonlinear wave equation and Schrödinger equation with inverse-square potential. Applicationes Mathematicae, Tome 40 (2013) no. 2, pp. 183-196. doi: 10.4064/am40-2-3
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