Anisotropic thermo-elasticity in 2D -- Part I: A unified approach
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🧮 math.AP
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anisotropicthermo-elasticityapproachcharacteristicdecaydevelopdiagonalisationdimensions
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In 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.
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