Kavli Affiliate: Yi Zhou
| First 5 Authors: Li Tu, Yi Zhou, , ,
| Summary:
We give a simpler proof for the local well-posedness of the modified
Korteweg-de Vries equations and modified Benjamin-Ono equation in
$H^{frac{1}{4}}(mathbb{R})$ and $H^{frac{1}{2}}(mathbb{R})$, respectively.
The proof is based on the Strichartz estimate, dyadic decomposition and a
bilinear estimate given by a new type of div-curl lemma.
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