International Journal of Mathematics and Mathematical Sciences 
Volume 18 (1995), Issue 2, Pages 237-244
doi:10.1155/S0161171295000299

Well-posedness and regularity results for a dynamic Von Kármán plate

M. E. Bradley

Department of Mathematics, University of Louisville, Louisville 40292, KY, USA

Received 26 April 1993; Revised 20 September 1994

Abstract

We consider the problem of well-posedness and regularity of solutions for a dynamic von Kármán 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. We prove the existence of unique strong solutions for this system