$L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 135-145.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove the $L^p$-$L^q$-time decay estimates for the solution of the Cauchy problem for the hyperbolic system of partial differential equations of linear thermoelasticity. In our proof based on the matrix of fundamental solutions to the system we use Strauss-Klainerman's approach [12], [5] to the $L^p$-$L^q$-time decay estimates.
DOI : 10.4064/ap-54-2-135-145
Keywords: decay estimates, partial differential equations, Cauchy problem, symmetric hyperbolic system of first order, linear thermoelasticity

Jerzy Gawinecki 1

1
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Jerzy Gawinecki. $L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity. Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 135-145. doi : 10.4064/ap-54-2-135-145. http://geodesic.mathdoc.fr/articles/10.4064/ap-54-2-135-145/

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