Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 162, pp. 1-14.

Title: Estimates for damped fractional wave equations and applications

Authors: Jiecheng Chen (Zhejiang Normal Univ., Jinhua, China)
         Dashan Fan (Univ. of Wisconsin-Milwaukee, WI, USA)
         Chunjie Zhang (Hangzhou Dianzi Univ., Hangzhou, China)

Abstract:
 In our previous article [1] we estimated the L^p-norm ($p\geq 1$) of the
 solution to damped fractional wave equation. In this article,
 we prove other L^p estimates, with some emphasis on requiring less
 regularity of the initial data. We also study the Strichartz type estimate
 of this equation. Finally we present some application of these estimates,
 for proving existence of global solutions to semilinear damped fractional
 wave equations.

Submitted November 30, 2014. Published June 16, 2015.
Math Subject Classifications: 35L05, 46E35, 42B37.
Key Words: Damped fractional wave equation; L^p-estimate; Strichartz estimate.