Well-posedness in the energy space for non-linear system of wave equations with critical growth
Well-posedness in the energy space for non-linear system of wave equations with critical growth
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DOI：
10.1007/s10114-007-1031-8
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
C. Miao;You-Bin Zhu
中科院分区：
文献类型：
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作者：
C. Miao;You-Bin Zhu
The authors consider the well-posedness in energy space of the critical non-linear system of wave equations with Hamiltonian structure where there exists a function F (λ, µ) such that By showing that the energy and dilation identities hold for weak solution under some assumptions on the non-linearities, we prove the global well-posedness in energy space by a similar argument to that for global regularity as shown in “Shatah and Struwe’s paper, Ann. of Math. 138, 503–518 (1993)”.
