Geodesic
$L^{p}$-$L^{q}$ time decay estimates for the solution of the linear partial differential equations of thermodiffusion
Arkadiusz Szymaniec1
1 Institute of Mathematics and Cryptology Faculty of Cybernetics Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland
Applicationes Mathematicae, Tome 37 (2010) no. 2, pp. 143-170 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider the initial-value problem for a linear hyperbolic parabolic system of three coupled partial differential equations of second order describing the process of thermodiffusion in a solid body (in one-dimensional space). We prove $L^p$-$L^q$ time decay estimates for the solution of the associated linear Cauchy problem.
DOI : 10.4064/am37-2-2
Keywords: consider initial value problem linear hyperbolic parabolic system three coupled partial differential equations second order describing process thermodiffusion solid body one dimensional space prove p l time decay estimates solution associated linear cauchy problem

Arkadiusz Szymaniec 1

1 Institute of Mathematics and Cryptology Faculty of Cybernetics Military University of Technology S. Kaliskiego 2 00-908 Warszawa, Poland 
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Arkadiusz Szymaniec. $L^{p}$-$L^{q}$ time decay estimates for the solution of
 the linear partial differential equations
 of thermodiffusion. Applicationes Mathematicae, Tome 37 (2010) no. 2, pp. 143-170. doi: 10.4064/am37-2-2

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