One-dimensional global attractor for the damped and driven sine-Gordon equation |
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| Authors: | Min Qian Shengfan Zhou Shu Zhu |
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| Institution: | (1) School of Mathematical Sciences, Peking University, 100871 Beijing, China;(2) Present address: Department of Mathematics, Sichuan University, 610064 Chengdu |
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| Abstract: | The damped and driven sine-Gordon equation with Neumann boundary conditions is studied. It is shown that it has a one-dimensional
global attractor in a suitable functional space when the “damping” and the “diffusing” are not very small.
Project supported by the National Natural Science Foundation of China. |
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| Keywords: | sine-Gordon equation global attractor horizontal carve |
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