We consider the quantum Zakharov system in spatial dimensions greater than $1$. The local well-posedness is obtained for initial data of the electric field and of the ion density lying in some Sobolev spaces with certain regularities. For higher dimensions, the results cover the subcritical region. We get major part of the subcritical region for lower dimensions. For the quantum Zakharov system with initial data possessing the critical regularities, the local well-posedness is also proved for spatial dimensions greater than $7$. As the quantum parameter approaches zero, we prove the local well-posedness for Zakharov system which improves the known result.

中文翻译：

---

Zakharov量子系统的局部适定性

我们认为量子Zakharov系统在空间维度上大于$ 1 $。对于位于某些Sobolev空间中具有一定规律性的电场和离子密度的初始数据，可以获得局部适定性。对于更高的尺寸，结果覆盖了亚临界区域。对于较小的尺寸，我们获得了亚临界区的主要部分。对于具有初始数据具有关键规律性的量子Zakharov系统，还证明了空间维度大于$ 7 $的局部适定性。随着量子参数趋近于零，我们证明了Zakharov系统的局部适定性，从而改善了已知结果。