Linear Oscillations of Thin Plates with Corners and Cracks

Аннотация

We study linear oscillations of a thin plate in a bounded domain G ⊂ ℝ² with finitely many corner points at the boundary ∂G. The time t runs the real axis. The boundary conditions are related to the rigidly fixed or free boundary of the plate. We describe the asymptotics of a solution to the problem near the corner points.