Existence and Scattering for Solutions to Semilinear Wave Equations on High Dimensional Hyperbolic Space
Analysis of PDEs
2014-07-11 v1
Abstract
We prove small-data global existence to semi-linear wave equations on hyperbolic space of dimension greater than or equal to three, for nonlinearities that have the form of a sufficiently high integer power of the solution. We also prove the existence and asymptotic completeness of wave operators in this setting.
Keywords
Cite
@article{arxiv.1407.2695,
title = {Existence and Scattering for Solutions to Semilinear Wave Equations on High Dimensional Hyperbolic Space},
author = {Amanda French},
journal= {arXiv preprint arXiv:1407.2695},
year = {2014}
}
Comments
9 pages