## Abstract and Applied Analysis

### Space-Time Estimates on Damped Fractional Wave Equation

#### Abstract

We obtain space-time estimates on the solution $u(t,x)$ to the Cauchy problem of damped fractional wave equation. We mainly focus on the linear equation. The almost everywhere convergence of the solution to linear equations as $t\to {0}^{+}$ is also studied, with the initial data satisfying certain regularity conditions.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 428909, 17 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412276963

Digital Object Identifier
doi:10.1155/2014/428909

Mathematical Reviews number (MathSciNet)
MR3208536

Zentralblatt MATH identifier
07022376

#### Citation

Chen, Jiecheng; Fan, Dashan; Zhang, Chunjie. Space-Time Estimates on Damped Fractional Wave Equation. Abstr. Appl. Anal. 2014 (2014), Article ID 428909, 17 pages. doi:10.1155/2014/428909. https://projecteuclid.org/euclid.aaa/1412276963

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