Well-posedness and regularity results for a dynamic von Kármán plate (Q1805113)

The author studies the well-posedness of a complicated dynamical problem on the von Karman plate, which is clamped along one portion of the boundary, and which experiences boundary damping through ``free edge'' conditions on the remainder of the boundary. The nonlinear 2D partial differential equations are written, as well as the boundary conditions; the main results of the paper are stated, in the form of existence and regularity theorems, which are carefully demonstrated.