Space-Time Estimates on Damped Fractional Wave Equation

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 regu...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.413-429-641
Hauptverfasser: Chen, Jiecheng, Zhang, Chunjie, Fan, Dashan
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Cauchy problem
Cauchy problems
Estimates
Fourier transforms
Mathematics
Physics
Wave equation
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Zusammenfassung: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 conditions.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/428909