Electron. J. Diff. Eqns., Vol. 2005(2005), No. 74, pp. 1-17.

$L^p$ - $L^q$ estimates for damped wave equations with odd initial data

Takashi Narazaki

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.

Submitted July 5, 2003. Published July 5, 2005.
Math Subject Classifications: 35B40, 35L05.
Key Words: Damped wave equation; $L^p$ - $L^q$ estimate; odd initial data

Show me the PDF file (306K), TEX file, and other files for this article.

Takashi Narazaki
Department of Mathematical Sciences
Tokai University
Hiratsuka 259-1292, Japan
email: narazaki@ss.u-tokai.ac.jp

Return to the EJDE web page