Decay and scattering of small solutions for Rosenau equations

作者：Wang Hongwei; Wang Shubin^*

来源：Applied Mathematics and Computation, 2011, 218(1): 115-123.

DOI：10.1016/j.amc.2011.05.060

• Rosenau equation
• Decay
• Scattering
• Small solution

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.

• 出版日期2011-9-1
• 单位西安交通大学; 新乡学院; 郑州大学