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Space-Time Estimates on Damped Fractional Wave Equation

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  • Jiecheng Chen
  • Dashan Fan
  • Chunjie Zhang

Abstract

We obtain space-time estimates on the solution 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 is also studied, with the initial data satisfying certain regularity conditions.

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  • Jiecheng Chen & Dashan Fan & Chunjie Zhang, 2014. "Space-Time Estimates on Damped Fractional Wave Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-17, May.
    • Handle: RePEc:hin:jnlaaa:428909
    DOI: 10.1155/2014/428909
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