Dissipation of Solutions for Linear Plate Equations

Main Article Content

Yongqin Liu
Xiaoning Cai

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.

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

Article Details

How to Cite
Liu, Y., & Cai, X. (2018). Dissipation of Solutions for Linear Plate Equations. Asian Research Journal of Mathematics, 10(2), 1-9. https://doi.org/10.9734/ARJOM/2018/42918
Section
Short Research Article