Yi Wang 2009 Nonlinearity 22 765 doi:10.1088/0951-7715/22/4/005
Yi Wang
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For strongly monotone skew-product semiflows on which a compact connected group acts, it is shown that any stable minimal set is residually symmetric and any uniformly stable trajectory is asymptotically symmetric. These results are then applied to study the spatio-temporal asymptotics of stable solutions of reaction–diffusion equations on a symmetric domain in time-recurrent structures including almost periodicity. In particular, the 1-covering property of omega-limit sets is established for uniformly stable bounded solutions of reaction–diffusion equations on a ball.
35K57 Reaction-diffusion equations
Issue 4 (April 2009)
Received 11 July 2008, in final form 16 January 2009
Published 26 February 2009
Yi Wang 2009 Nonlinearity 22 765
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