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

Amanda French

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arXiv · 1407.2695

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

Amanda French

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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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Amanda French. 2014-07-10. Existence and Scattering for Solutions to Semilinear Wave Equations on High Dimensional Hyperbolic Space. https://arxiv.org/abs/1407.2695

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