Publikace na Matematicko-fyzikální fakulta |
2017
Abstrakt
A well known result states that the Lojasiewicz gradient inequality implies some estimates of the rate of convergence to equilibrium for solutions of gradient systems. We generalize this result to gradient-like systems satisfying certain angle condition and Kurdyka-Lojasiewicz inequality and to even more general situation.
We apply the results to a broad class of second order equations with damping.