Anisotropic thermo-elasticity in 2D -- Part I: A unified approach

Details Anisotropic thermo-elasticity in 2D -- Part I: A unified approach Anisotropic thermo-elasticity in 2D -- Part I: A unified approach

2007-04-02

arxiv.org/abs/0704.0125v3

Asymptotic Analysis, 57 No. 1-2, 1-27, 2008

Mathematics

Analysis of PDEs

22 pages;

Scientific paper

10.3233/ASY-2008-0863

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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