Lp-Lq estimates for damped wave equations with odd initial data
Texas State University-San Marcos, Department of Mathematics
We study the Cauchy problem for the damped wave equation. In a previous paper  the author has shown the Lp-Lq estimates between the solutions of the damped wave equation and the solutions of the corresponding heat equation. In this paper, we show new Lp-Lq estimates for the damped wave equation with odd initial data.
Damped wave equation, Lp - Lq estimate, Odd initial data
Narazaki, T. (2005). Lp-Lq estimates for damped wave equations with odd initial data. <i>Electronic Journal of Differential Equations, 2005</i>(74), pp. 1-17.