Journal of Jishou University(Natural Sciences Edition)

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Decay Estimates of Solutions to a Linear Dissipative Plate Equation

GE Beibei,LIU Yongqin   

  1. (Department of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)
  • Online:2017-11-25 Published:2017-12-29


In this paper the initial value problem of the linear plate equation in multi-dimensions (n≥1) is studied.The fundamental solutions and thus the solution to the corresponding linear problem are obtained by using Fourier transform.Requesting for the point-wise estimate of solution to the linear problem in the Fourier space,estimates and properties of solution operators are achieved,by utilizing which decay estimates of solutions to the linear problem are obtained.

Key words: linear plate equation, Fourier transform, decay estimates, energy estimates

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