Geodesic
Group actions on monotone skew-product semiflows with applications
Journal of the European Mathematical Society, Tome 18 (2016) no. 1, pp. 195-223

Voir la notice de l'article provenant de la source EMS Press

We discuss a general framework of monotone skew-product semiflows under a connected group action. In a prior work, a compact connected group G-action has been considered on a strongly monotone skew-product semiflow. Here we relax the strong monotonicity and compactness requirements, and establish a theory concerning symmetry or monotonicity properties of uniformly stable 1-cover minimal sets. We then apply this theory to show rotational symmetry of certain stable entire solutions for a class of nonautonomous reaction-diffusion equations on Rn, as well as monotonicity of stable traveling waves of some nonlinear diffusion equations in time-recurrent structures including almost periodicity and almost automorphy.
DOI : 10.4171/jems/588
Classification : 37-XX, 35-XX
Keywords: Monotone skew-product semiflows, group actions, rotational symmetry, reaction-diffusion equations, traveling waves 
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Feng Cao; Mats Gyllenberg; Yi Wang. Group actions on monotone skew-product semiflows with applications. Journal of the European Mathematical Society, Tome 18 (2016) no. 1, pp. 195-223. doi: 10.4171/jems/588

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