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Research Article Open access CC BY 4.0

Dissipation of Solutions for Linear Plate Equations

Yongqin Liu, Xiaoning Cai

Asian Research Journal of Mathematics · pp. 1–9 · Published 31 Jul 2018

10.9734/ARJOM/2018/42918

Abstract

Aims/ Objectives: To study the dissipation of solutions for a plate equation Methodology: energy method, Fourier analysis. Results: The energy estimate and decay estimates of solutions are obtained. Conclusion: The dissipative term has effect on the decay of solutions and the dissipative structure is not of regularity-loss type.

linear plate equation point-wise estimate in the Fourier space decay estimates energy estimates

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