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Decay and scattering of small solutions for Rosenau equations |
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| Authors: | Hongwei Wang Shubin Wang |
| Institution: | a Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China b Department of Mathematics, XinXiang College, Xinxiang 453000, China c Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
| Abstract: | We study the long-time behavior of small solutions of the Cauchy problem for a Rosenau equation. For a class of nonlinearity of the perturbation, the global small solution was obtained, and the decay and scattering for small amplitude solution are established. |
| Keywords: | Rosenau equation Decay Scattering Small solution |
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