Severino Horacio da Silva - Universidade Federal de Campina Grande

Título:

Dissipative Property for a non-local evolution equation.

Resumo:

In this work we study a non-local evolution equation in the phase space $L^{p}(\Omega)$, where $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$. We prove that Cauchy problem is well posed, the solutions are smooth with respect to initial conditions, and we show the existence of a global attractor. Futhermore, we exhibit a Lyapunov's functional, concluding that the flow generated by this equation has a gradient property.

Horário:

Qua 20/02 dàs 11:10-12:00