Exotic blowup solutions for the u^5 focusing wave equation in R^3
Analysis of PDEs
2012-12-20 v1 Mathematical Physics
math.MP
Abstract
For the energy critical focusing wave equation in three dimensions we establish the existence of blowup solutions via an "exotic" dynamical rescaling of the ground state solution W(x). The scaling law is not of the pure-power type, but rather eternally oscillates between such classes. Moreover, there is a continuum of these scaling laws.
Keywords
Cite
@article{arxiv.1212.4718,
title = {Exotic blowup solutions for the u^5 focusing wave equation in R^3},
author = {Roland Donninger and Min Huang and Joachim Krieger and Wilhelm Schlag},
journal= {arXiv preprint arXiv:1212.4718},
year = {2012}
}