Instability, nonexistence, and uniqueness in elasticity with porous dissipation. (3rd January 2006) - Leseduarte Leseduarte, M. C. M. C.
Abstract : This paper is devoted to the study of the elasticity with porous dissipation. In the context of the nonlinear problem, we prove instability and nonexistence of solutions. In the context of the linear problem, we obtain exponential growth. We also obtain uniqueness of solutions of the backward in time problem of the linear equations.