Convergence in gradient-like systems with applications to PDE
- Cite this article as:
- Hale, J.K. & Raugel, G. Z. angew. Math. Phys. (1992) 43: 63. doi:10.1007/BF00944741
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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.