中文摘要：

为在三种尺寸的量 Zakharov 方程的起始的价值问题被学习。一个全球光滑的答案的存在和唯一被证明与联合了 priori 估计和 Galerkin 方法。

英文摘要：

The initial value problem for the quantum Zakharov equation in three di- mensions is studied. The existence and uniqueness of a global smooth solution are proven with coupled a priori estimates and the Galerkin method.