Stabilization of a suspension bridge with locally distributed damping. (English) Zbl 1403.93167
Summary: We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature, we prove the exponential asymptotic stability of the considered model with a small amount of damping (namely, on a small collar around the whole boundary) which represents less cost of material.
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