THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS

Chunxiao Guo; Boling Guo

doi:10.11948/2156-907X.20190095

2019 Volume 9 Issue 3

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Chunxiao Guo, Boling Guo. THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 1183-1192. doi: 10.11948/2156-907X.20190095

Citation:

Chunxiao Guo, Boling Guo. THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 1183-1192. doi: 10.11948/2156-907X.20190095

THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRÖDINGER EQUATIONS

Chunxiao Guo^1, ,,
Boling Guo²

1.
Department of Mathematics, China University of Mining and Technology Beijing, Ding No.11 Xueyuan Road, Haidian District, 100083, Beijing, China
2.
Institute of Applied Physics and Computational Mathematics, No.6 Huayuan Road, 100088, Beijing, China

Corresponding author: Email address:guochunxiao1983@sina.com(C. Guo)
Fund Project: The authors were supported by National Natural Science Foundation of China (No.11771444), the Yue Qi Young Scholar project, China University of Mining and Technology(Beijing) and China Scholarship Council(CSC)

Abstract

Abstract

In this paper, the problem of a class of multidimensional fourthorder nonlinear Schrödinger equation including the derivatives of the unknown function in the nonlinear term is studied, and the existence of global weak solutions of nonlinear Schrödinger equation is proved by the Galerkin method according to the different values of λ.
- Fourth-order nonlinear Schrödinger equation /
- Galerkin method /
- initial boundary value problem
MSC: 35Q40, 35Q55

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References

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