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Instability, nonexistence, and uniqueness in elasticity with porous dissipation

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Author(s): M. C. Leseduarte | R. Quintanilla

Journal: Differential Equations and Nonlinear Mechanics
ISSN 1687-4099

Volume: 2006;
Date: 2006;
Original page

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.
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