科研之友
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摘要
We are concerned with how regular initial data have to be to ensure local existence for Einstein's equations in wave coordinates. Klainerman-Rodnianski and Smith-Tataru showed that there in general is local existence for data in Sobolev spaces H<^>s with regularity s>2. We give an example of data in Sobolev spaces with regularity s=2 for which there is no local solution in this space.
- 出版日期2017-1
