CÂMARA, R. T. T.; http://lattes.cnpq.br/7487013361862730; CÂMARA, Rodrigo Toledo Teixeira.
Abstract:
In this work, we consider a non local evolution equation with convolution and
we prove the existence of a global attractor for the flow generated by that equation.
Futhermore, we show that the energy functional associated with this equation satisfies
the Lyapunov’s property of decreasing under the solutions. We also show the existence
of non trivial equilibria and study its instability