Dissipation of Solutions for Linear Plate Equations
Yongqin Liu *
School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China.
Xiaoning Cai
School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China.
*Author to whom correspondence should be addressed.
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