Jairo Hernandez
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.
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Jairo Hernandez Universidad del Norte Km 5 via a Puerto Colombia Barranquilla, Colombia email: jahernan@uninorte.edu.co |
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