Geodesic
$L^q$ estimates for damped wave equations with odd initial data
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the Cauchy problem for the damped wave equation. In a previous paper [16] the author has shown the $L^p - L^q$ estimates between the solutions of the damped wave equation and the solutions of the corresponding heat equation. In this paper, we show new $L^p - L^q$ estimates for the damped wave equation with odd initial data.
Classification : 35B40, 35L05
Keywords: damped wave equation, $L^p$, L^q$ estimate$, odd initial data 
@article{EJDE_2005__2005__a164,
     author = {Narazaki, Takashi},
     title = {$L^q$ estimates for damped wave equations with odd initial data},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a164/}
}
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Narazaki, Takashi. $L^q$ estimates for damped wave equations with odd initial data. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a164/