Threshold solutions in the case of mass-shift for the critical Kline-Gordon equation
Analysis of PDEs
2011-10-11 v1
Abstract
We study global dynamics for the focusing nonlinear Klein-Gordon equation with the energy-critical nonlinearity in two or higher dimensions when the energy equals the threshold given by the ground state of a mass-shifted equation, and prove that the solutions are divided into scattering and blowup. In short, the Kenig-Merle scattering/blowup dichotomy extends to the threshold energy in the case of mass-shift for the critical nonlinear Klein-Gordon equation.
Keywords
Cite
@article{arxiv.1110.1709,
title = {Threshold solutions in the case of mass-shift for the critical Kline-Gordon equation},
author = {Slim Ibrahim and Nader Masmoudi and Kenji Nakanishi},
journal= {arXiv preprint arXiv:1110.1709},
year = {2011}
}
Comments
16 pages