Space-Time Estimates on Damped Fractional Wave Equation

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→0+ is also studied, with the initial data satisfying certain regularity c...

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Bibliographic Details
Main Authors: Jiecheng Chen, Dashan Fan, Chunjie Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/428909