Sharp local well-posedness results for the nonlinear wave equation

Sharp local well-posedness results for the nonlinear wave equation
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DOI:
10.4007/annals.2005.162.291
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发表时间:
2005-07
影响因子:
4.9
通讯作者:
Hart F. Smith;D. Tataru
Hart F. Smith;D. Tataru
中科院分区:
数学1区
文献类型:
--
作者:
Hart F. Smith;D. Tataru

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研究二阶拟线性双曲型方程具有粗糙初始数据的Cauchy问题的局部适定性。这里得到的新结果在低维上是清晰的。
This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension.