On the vibrations of rectangular plates
Alain Haraux, Vilmos Komornik · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1991
Synopsis We prove that, for every non-empty open subset of a rectangular plate, there exists a positive number T such that no vibration of this plate with fixed edges can remain strictly above the rest position at all points of the subset during a period T. Moreover, the result remains valid for every non-empty segment parallel to one of the sides of the plate. Our proof is based on some results of non-harmonic analysis.