Geodesic
\(L^q\) estimates for damped wave equations with odd initial data
Electronic journal of differential equations, Tome 2005 (2005)
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__a64,
     author = {Narazaki,  Takashi},
     title = {\(L^q\) estimates for damped wave equations with odd initial data},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1072.35549},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a64/}
}
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%A Narazaki,  Takashi
%T \(L^q\) estimates for damped wave equations with odd initial data
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a64/
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%F EJDE_2005__2005__a64
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__a64/