Scattering profile for global solutions of the energy-critical wave equation
Scattering profile for global solutions of the energy-critical wave equation
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能量临界波动方程全局解的散射剖面
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
F. Merle
中科院分区：
文献类型：
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作者：
Thomas Duyckaerts;C. Kenig;F. Merle
考虑3维、4维或5维空间中的聚焦能量临界波动方程。我们证明了在能量空间中有界的整体解在波锥外收敛到一个辐射项，该辐射项是线性波动方程的解。
Consider the focusing energy-critical wave equation in space dimension 3, 4 or 5. We prove that any global solution which is bounded in the energy space converges in the exterior of wave cones to a radiation term which is a solution of the linear wave equation.