Low regularity semi-linear wave equations

Details Low regularity semi-linear wave equations Low regularity semi-linear wave equations

1997-09-19

arxiv.org/abs/math/9709222v1

Mathematics

Analysis of PDEs

Scientific paper

We prove local well-posedness results for the semi-linear wave equation for
data in $H^\gamma$, $0 < \gamma < \frac{n-3}{2(n-1)}$, extending the
previously known results for this problem. The improvement comes from an
introduction of a two-scale Lebesgue space $X^{r,p}_k$.

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