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Frequency : 12 issues per year
Subject : Computer Applications and Technology
ISSN : 2319–8656 (Online)
Home Archives Volume 8 Issue 8 ijcatr08081002

IJCATR Volume 8 Issue 8

Energy Estimates and Decay of Solutions to a Plate Equation with Memory

Yongqin Liu,Jingjing Li
10.7753/IJCATR0808.1002
keywords : plate equation with memory; point-wise estimate; decay estimates; energy estimates

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This paper focuses on the initial-value problem of a linear plate equation with memory in multi-dimensions (n ? 1), the decay structure of which is of regularity-loss property. By making use of the point-wise estimate of solutions in the Fourier space, the energy estimates and decay estimates of solutions to the linear problem are obtained.
@artical{y882019ijcatr08081002,
Title = "Energy Estimates and Decay of Solutions to a Plate Equation with Memory",
Journal ="International Journal of Computer Applications Technology and Research(IJCATR)",
Volume = "8",
Issue ="8",
Pages ="303 - 310",
Year = "2019",
Authors ="Yongqin Liu,Jingjing Li"}
  • The paper studies a plate equation with memory
  • The energy method in the Fourier space is used
  • Pointwise estimates of solutions are obtained in the Fourier space
  • Energy estimates and decay estimates of solutions are obtained.
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