Weak attractors for the dissipative fractional Heisenberg equation |
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Authors: | Xueke Pu Boling Guo |
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Affiliation: | a College of Mathematics and Statistics, Chongqing University, Chongqing 400044, PR China b Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, PR China |
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Abstract: | In this short paper, we consider the long time behaviors of the fractional Heisenberg equation and the existence of a global weak attractor is proved for the shift dynamics in the path space. The key ingredient is some new type of commutator structure introduced in this paper, which seems indispensable in proving the compactness of the dynamics. The technique introduced in this paper may also be useful to other fractional order partial differential equations. |
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Keywords: | Fractional Heisenberg equation Weak attractors Commutator estimates |
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