2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158358In this note we develop tools and techniques for the treatment of anisotropic thermo-elasticity in two space dimensions. We use a diagonalisation technique to obtain properties of the characteristic roots of the full symbol of the system in order to prove $L^p$--$L^q$ decay rates for its solutions.22 pages;Analysis of PDEs74H40, 35B45, 35Q72, 74F05text