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A large data regime for nonlinear wave equations

Jinhua WangPin Yu — 2016

Journal of the European Mathematical Society

We also exhibit a set of localized data for which the corresponding solutions are strongly focused, which in geometric terms means that a wave travels along an specific incoming null geodesic in such a way that almost all of the energy is concentrated in a tubular neighborhood of the geodesic and almost no energy radiates out of this neighborhood.

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