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Attractors and Dimensions for Discretizations of a NLS Equation with a Non-local Nonlinear Term

โœ Scribed by Shu Qing Ma; Qian Shun Chang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2002
Tongue
English
Weight
405 KB
Volume
18
Category
Article
ISSN
1439-7617

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The long-time behavior of the wave equation with nonmonotone interior damping is considered. It is shown that the semigroup generated by this equation possesses a global attractor in H 1 0 (โ„ฆ ) ร— L 2 (โ„ฆ ).