Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions

@inproceedings{Gerbi2013GlobalEA,
  title={Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions},
  author={St{\'e}phane Gerbi and Belkacem Said-Houari},
  year={2013}
}
Abstract The goal of this work is to study a model of the wave equation with dynamic boundary conditions and a viscoelastic term. First, applying the Faedo-Galerkin method combined with the fixed point theorem, we show the existence and uniqueness of a local in time solution. Second, we show that under some restrictions on the initial data, the solution… CONTINUE READING