Palais–Smale condition and global attractor for gradient system

@inproceedings{Zhong2008PalaisSmaleCA,
  title={Palais–Smale condition and global attractor for gradient system},
  author={Yansheng Zhong and Chengkui Zhong},
  year={2008}
}
  • Yansheng Zhong, Chengkui Zhong
  • Published 2008
  • Mathematics
  • Abstract The existence and structure of a global attractor for the gradient system d u / d t = − ∇ f ( u ) are proved by assuming that f satisfies the Palais–Smale condition, where u ∈ X , X is a Hilbert space, f is a real functional on X . 

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