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Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions - MaRDI portal

Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions (Q2474792)

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Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions
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    Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions (English)
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    6 March 2008
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    The author improves the estimate of the \(L^{4}_{t}L^{12}_{x}(\mathbb R\times \mathbb R^{3})\) norm of a global solution to the Cauchy problem for the equation \(u_{tt}-\Delta u=u^{5}.\) The norm is bounded by the explicit function of the energy.
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    global well-posedness
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    scattering
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