Mathematics – Analysis of PDEs
Scientific paper
2007-05-20
Mathematics
Analysis of PDEs
19pages, no figures
Scientific paper
We get a local existence result in $H^s$ with $s>3/2$ for second order quasilinear wave equation with radial initial data in 2+1 dimensions, based on an improvement of Strichartz estimate in the radial case. Moreover, we get the corresponding local well-posed result for semilinear wave equation. The required index of regularity here is 1/4 less than the index 7/4, which is essentially sharp in general.
Fang Daoyuan
Wang Chengbo
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