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Initial boundary value problem for generalized Zakharov equations |
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| Authors: | Shujun You Boling Guo Xiaoqi Ning |
| Institution: | 1. School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan, 410083, P.R.China 2. Department of Mathematics, Huaihua University, Huaihua, Hunan, 418008, P.R.China 3. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P.R.China 4. Department of Mathematics, Huaihua University, Huaihua, Hunan, 418008, P.R. China |
| Abstract: | This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in (2+1) dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method. |
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