Spacetime integral bounds for the energy-critical nonlinear wave equation
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math.AP
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boundequationinftynonlinearquinticspacetimewavebounds
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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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