\(L^q\) 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
Keywords: damped wave equation, $L^p$, L^q$ estimate$, odd initial data
@article{EJDE_2005__2005__a264,
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__a264/}
}
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__a264/