"2003 Colloquium on Differential Equations and Applications,
 Maracaibo, Venezuela.
Electronic Journal of Differential Equations,
Conference 13, 2005, pp. 35-47. 

Title: A system of semilinear evolution equations with
       homogeneous boundary conditions for thin plates 
       coupled with membranes

Author: Jairo Hernandez (Univ. del Norte, Barranquilla, Colombia)
 
Abstract: 
 In this work we consider a semilinear initial  boundary-value
problem modelling an elastic thin plate (in the context of
the so-called Kirchhoff-Love theory) coupled with an elastic
membrane, regarding homogeneous boundary conditions. By means of
the theory of strongly continuous semigroups of linear operators
applied to abstract semilinear initial valued problems [16],
we obtain existence and uniqueness of a weak solution which is
defined in a suitable way.

Published May 30, 2005.
Math Subject Classifications: 74H20, 74H25, 74K15.
Key Words: Plates, membranes, coupled structures,  
           transmission problems, semilinear evolution equations.