Well and ill-posedness issues for energy supercritical waves
Analysis of PDEs
2009-06-18 v1 Classical Analysis and ODEs
Abstract
We investigate the initial value problem for some energy supercritical semilinear wave equations. We establish local existence in suitable spaces with continuous flow. We also obtain some ill-posedness/weak ill-posedness results. 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.
Cite
@article{arxiv.0906.3092,
title = {Well and ill-posedness issues for energy supercritical waves},
author = {Slim Ibrahim and Mohamed Majdoub and Nader Masmoudi},
journal= {arXiv preprint arXiv:0906.3092},
year = {2009}
}
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