Existence and Scattering for Solutions to Semilinear Wave Equations on High Dimensional Hyperbolic Space

2014/07/10 by French, Amanda
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.2695

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.

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