publications
Article
Well- and ill-posedness issues for energy supercritical waves, |
Ibrahim Slim, Majdoub Mohamed, Masmoudi Nader, 2011 |
Analysis & PDE, 4, 2, 341-367, Juin 2011 |
Résumé
We investigate the initial value problem for some energy supercritical semilinear wave equations. We
establish local existence in suitable spaces with continuous flow. The proof uses the finite speed of
propagation and a quantitative study of the associated ODE. It does not require any scaling invariance of
the equation. We also obtain some ill-posedness and weak ill-posedness results.
We investigate the initial value problem for some energy supercritical semilinear wave equations. We establish local existence in suitable spaces with continuous flow. The proof uses the finite speed ofpropagation and a quantitative study of the associated ODE. It does not require any scaling invariance ofthe equation. We also obtain some ill-posedness and weak ill-posedness results.
