# Local well-posedness for the Zakharov system in dimension d ≤ 3

@article{Sanwal2021LocalWF,
title={Local well-posedness for the Zakharov system in dimension d ≤ 3},
author={Akansha Sanwal},
journal={Discrete \& Continuous Dynamical Systems},
year={2021}
}
• A. Sanwal
• Published 16 March 2021
• Mathematics
• Discrete & Continuous Dynamical Systems
<p style='text-indent:20px;'>The Zakharov system in dimension <inline-formula><tex-math id="M1">\begin{document}$d\leqslant 3$\end{document}</tex-math></inline-formula> is shown to be locally well-posed in Sobolev spaces <inline-formula><tex-math id="M2">\begin{document}$H^s \times H^l$\end{document}</tex-math></inline-formula>, extending the previously known result. We construct new solution spaces by modifying the <inline-formula><tex-math id="M3">\begin{document}$X^{s,b}$\end{document…
3 Citations

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