Abstract
The initial value problem for the quantum Zakharov equation in three dimensions is studied. The existence and uniqueness of a global smooth solution are proven with coupled a priori estimates and the Galerkin method.
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Project supported by the National Natural Science Foundation of China (No. 11501232) and the Research Foundation of Education Bureau of Hunan Province (No. 15B185)
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You, S., Guo, B. Global solution for quantum Zakharov equations. Appl. Math. Mech.-Engl. Ed. 38, 603–616 (2017). https://doi.org/10.1007/s10483-017-2181-6
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DOI: https://doi.org/10.1007/s10483-017-2181-6