Decay property for solutions to plate type equations with variable coefficients

Shikuan Mao; Yongqin Liu

doi:10.3934/krm.2017031

Article Contents

2017, Volume 10, Issue 3: 785-797. Doi: 10.3934/krm.2017031

This issue Previous Article Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces Next Article On a linear runs and tumbles equation

Decay property for solutions to plate type equations with variable coefficients

Shikuan Mao and
Yongqin Liu^,

School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

* Corresponding author: Yongqin Liu
* Corresponding author: Yongqin Liu

Received: June 2016

Revised: August 2016

Published: September 2017

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Abstract

In this paper we consider the initial value problem of a rotational inertial model for plate type equations with variable coefficients and memory in $\mathbb{R}^n\ (n≥q1)$. We study the decay and the regularity-loss property for this equation in the spirit of [12,15], and characterize the decay and regularity property by a function in the spectral space.

Keywords:

Plate equation,
pointwise estimate in the spectral space,
decay,
regularity-loss type,
memory.

Mathematics Subject Classification: 35L30, 35B40.

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