$L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity

Jerzy Gawinecki

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ArticleOriginal scientific text

Title

$L^{p}$ - $L^{q}$ -Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity

Authors ¹

Affiliations

Department of Mathematics, Military Technical Academy, S. Kaliskiego 2, 01-489 Warszawa, Poland

Abstract

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.

Keywords

ENG

decay estimates, partial differential equations, Cauchy problem, symmetric hyperbolic system of first order, linear thermoelasticity

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Title

Lp-Lq-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity

Affiliations

Abstract

Keywords

Bibliography

$L^{p}$ - $L^{q}$ -Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity