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arXiv · 2010.07771

Spacetime integral bounds for the energy-critical nonlinear wave equation

Benjamin Dodson
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Abstract

In this paper we prove a global spacetime bound for the quintic, nonlinear wave equation in three dimensions. This bound depends on the $L_{t}^{\infty} L_{x}^{2}$ and $L_{t}^{\infty} \dot{H}^{2}$ norms of the solution to the quintic problem.

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Benjamin Dodson. 2020-10-15. Spacetime integral bounds for the energy-critical nonlinear wave equation. https://arxiv.org/abs/2010.07771

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