The radial defocusing energy-supercritical cubic nonlinear wave equation in R^{1+5}
Analysis of PDEs
2015-07-22 v1
Abstract
In this work, we consider the energy-supercritical defocusing cubic nonlinear wave equation in dimension d=5 for radially symmetric initial data. We prove that an a priori bound in the critical space implies global well-posedness and scattering. The main tool that we use is a frequency localized version of the classical Morawetz inequality, inspired by recent developments in the study of the mass and energy critical nonlinear Schr\"odinger equation.
Keywords
Cite
@article{arxiv.1104.2002,
title = {The radial defocusing energy-supercritical cubic nonlinear wave equation in R^{1+5}},
author = {Aynur Bulut},
journal= {arXiv preprint arXiv:1104.2002},
year = {2015}
}
Comments
AMS Latex, 20 pages