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Journal of the London Mathematical Society 1995 52(3):568-582; doi:10.1112/jlms/52.3.568
© 1995 by London Mathematical Society
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© The London Mathematical Society

Lower Semicontinuity of a Non-Hyperbolic Attractor

I. N. Kostin

Steklov Mathematical Institute, St. Petersburg Branch 27 Fontanka, St. Petersburg 191011, Russia

Received 7 January 1994.

The unstable invariant set near a non-hyperbolic stationary point of an abstract parabolic equation is studied. Lower semicontinuity of the attractor for the Chafee-Infante problem in the case of the non-hyperbolic zero stationary solution is proved.

Part of this research was carried out during the author's stay in the Centre for Mathematical Analysis and its Applications (University of Sussex) and was supported by the Royal Society.


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