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.
基金Project supported by the National Natural Science Foundation of China(No.11501232)the Research Foundation of Education Bureau of Hunan Province(No.15B185)
文摘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.