Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle
Analysis of PDEs
2019-10-03 v1
Abstract
We consider the focusing wave equation outside a ball of , with Dirichlet boundary condition and a superquintic power nonlinearity. We classify all radial stationary solutions, and prove that all radial global solutions are asymptotically the sum of a stationary solution and a radiation term.
Keywords
Cite
@article{arxiv.1910.00811,
title = {Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle},
author = {Thomas Duyckaerts and Jianwei Yang},
journal= {arXiv preprint arXiv:1910.00811},
year = {2019}
}