Jiecheng Chen, Dashan Fan, Chunjie Zhang
Abstract:
In our previous article [1] we estimated the
-norm
() of the
solution to damped fractional wave equation. In this article,
we prove other
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;
-estimate;
Strichartz estimate.
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Jiecheng Chen Department of Mathematics Zhejiang Normal University Jinhua 321004, China email: jcchen@zjnu.edu.cn | |
Dashan Fan Department of Mathematics University of Wisconsin Milwaukee, WI 53201, USA email: fan@uwm.edu | |
Chunjie Zhang Department of Mathematics Hangzhou Dianzi University Hangzhou 310018, China email: purezhang@hdu.edu.cn |
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