Geodesic
$L^p$-$L^q$-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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_ap_54_2_135_145,
     author = {Jerzy Gawinecki},
     title = {$L^p$-$L^q${-Time} decay estimate for solution of the {Cauchy} problem for hyperbolic partial differential equations of linear thermoelasticity},
     journal = {Annales Polonici Mathematici},
     pages = {135--145},
     year = {1991},
     volume = {54},
     number = {2},
     doi = {10.4064/ap-54-2-135-145},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-54-2-135-145/}
}
TY  - JOUR
AU  - Jerzy Gawinecki
TI  - $L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
JO  - Annales Polonici Mathematici
PY  - 1991
SP  - 135
EP  - 145
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-54-2-135-145/
DO  - 10.4064/ap-54-2-135-145
LA  - en
ID  - 10_4064_ap_54_2_135_145
ER  - 
%0 Journal Article
%A Jerzy Gawinecki
%T $L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
%J Annales Polonici Mathematici
%D 1991
%P 135-145
%V 54
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-54-2-135-145/
%R 10.4064/ap-54-2-135-145
%G en
%F 10_4064_ap_54_2_135_145
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

Cité par Sources :