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Unbounded One-Dimensional Global Attractor for the Damped Sine-Gordon Equation

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China, CN

    M. Qian, W.-X. Qin, G.-X. Wang & S. Zhu

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  1. M. Qian
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  2. W.-X. Qin
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  3. G.-X. Wang
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  4. S. Zhu
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Received March 16, 1999; accepted December 10, 1999

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Qian, M., Qin, WX., Wang, GX. et al. Unbounded One-Dimensional Global Attractor for the Damped Sine-Gordon Equation . J. Nonlinear Sci. 10, 417–432 (2000). https://doi.org/10.1007/s003329910018

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  • DOI: https://doi.org/10.1007/s003329910018

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