Abstract
In this work, we study a plate equation modelling a suspension bridge with weak damping and hanger restoring force. We prove the well-posedness and establish an explicit and general decay result without putting restrictive growth conditions on the frictional damping term.
Highlights
The study of plate problems has been widely investigated by mathematicians and other scientists
The stability of Kirchhoff plates in the presence of a linear or nonlinear source has been studied by many authors
The first attempt to model a suspension bridge through a plate is due to Ferrero and Gazzola [9], where the following hyperbolic problem was introduced:
Summary
The study of plate problems has been widely investigated by mathematicians and other scientists. Al-Gharabli and Messaoudi [6] studied the following nonlinear plate problem: The first attempt to model a suspension bridge through a plate is due to Ferrero and Gazzola [9], where the following hyperbolic problem was introduced: He proved the existence and uniqueness of local solution and a finite time blow up result.
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