Space-Time Estimates on Damped Fractional Wave Equation-Reference-Cited by-同舟云学术

Space-Time Estimates on Damped Fractional Wave Equation

Published:2014 Issue: Volume:2014 Page:1-17
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chen Jiecheng¹,Fan Dashan²,Zhang Chunjie³^ORCID

Affiliation:

1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA

3. School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China

Abstract

We obtain space-time estimates on the solutionu(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 ast→0+is also studied, with the initial data satisfying certain regularity conditions.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/428909.pdf

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