Well-posedness for a class of generalized Zakharov system
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Authors
Shujun You
- School of Mathematical Sciences, Huaihua University, Huaihua 418008, China.
Xiaoqi Ning
- School of Mathematical Sciences, Huaihua University, Huaihua 418008, China.
Abstract
In this paper, we study the existence and uniqueness of the global smooth solution for the initial value problem of generalized
Zakharov equations in dimension two. By means of a priori integral estimates and Galerkin method, we first construct the
existence of global solution with some conditions. Furthermore, we prove that the global solution is unique.
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ISRP Style
Shujun You, Xiaoqi Ning, Well-posedness for a class of generalized Zakharov system, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1289--1302
AMA Style
You Shujun, Ning Xiaoqi, Well-posedness for a class of generalized Zakharov system. J. Nonlinear Sci. Appl. (2017); 10(4):1289--1302
Chicago/Turabian Style
You, Shujun, Ning, Xiaoqi. "Well-posedness for a class of generalized Zakharov system." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1289--1302
Keywords
- Global solutions
- Zakharov equations
- well-posedness.
MSC
References
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