Unbounded One-Dimensional Global Attractor for the Damped Sine-Gordon Equation |
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| Authors: | M. Qian W.-X. Qin G.-X. Wang S. Zhu |
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| Affiliation: | (1) School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China, CN |
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| Abstract: | Summary. The dynamical behavior of the damped sine-Gordon equation with homogeneous Neumann boundary condition is studied. It is shown that the equation has an unbounded one-dimensional global attractor in a suitable functional space when the ``damping' and the ``diffusing' are not very small. Received March 16, 1999; accepted December 10, 1999 |
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| Keywords: | . sine-Gordon equation global attractor |
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