Abstract
In gradient-like systems, the limit set of an orbit belongs to the set of equilibrium points. We give easily applied conditions to determine when this limit set is a single point. Applications are given to parabolic equations, linearly damped hyperbolic equations as well as their discretizations.
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Dedicated to Klaus Kirchgässner on his 60th birthday
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Hale, J.K., Raugel, G. Convergence in gradient-like systems with applications to PDE. Z. angew. Math. Phys. 43, 63–124 (1992). https://doi.org/10.1007/BF00944741
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DOI: https://doi.org/10.1007/BF00944741