Inserted: 19 jan 2003
Last Updated: 17 dec 2003
Journal: Rend. Atti Acc. Naz. Sci. XL Mem. Mat.
We adapt the barriers approach, originally introduced by De Giorgi for geometric evolution problems, to systems of ordinary differential equations. In particular, we compute the regularized minimal closed barrier (RMCB) for the two-body problem. It turns out that, in general, the RMCB does not satisfy the semigroup property. Moreover, in the example of the two-body problem, the fattening phenomenon does not appear.