Instability, nonexistence, and uniqueness in elasticity with porous dissipation

摘要

This paper is devoted to the study of the elasticity with porousdissipation. In the context of the nonlinear problem, we proveinstability and nonexistence of solutions. In the context of thelinear problem, we obtain exponential growth. We also obtainuniqueness of solutions of the backward in time problem of thelinear equations.