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Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order |
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| Authors: | Yu-Zhu Wang Yin-Xia Wang |
| Affiliation: | a School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China b Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China |
| Abstract: | In this paper, we investigate the existence and uniqueness of the solution to the Cauchy problem for a class of nonlinear wave equations of higher order and prove the existence and nonexistence of global solutions to this problem by a potential well method. |
| Keywords: | 35L55 35Q35 76B15 |
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