Decay of solutions to an inertial model for a semilinear plate equation with memory
type: Item
instance of: scholarly article
title: Decay of solutions to an inertial model for a semilinear plate equation with memory
zbMATH Open document ID: 1259.35038
author: Yongqin Liu
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-08-01T00:00:00Z
review text: The author considers the initial value problem of an inertial model for a semilinear plate equation with memory in multi-dimensions, which is of regularity-loss property. By using Fourier transform and Laplace transform, he obtains fundamental solutions to the corresponding linear problem and their pointwise estimates in the Fourier space. Appealing to this pointwise estimates, he obtains the global existence and the optimal decay estimates of solutions to the semilinear problem by employing the contraction mapping theorem.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L76
zbMATH DE Number: 6062849
zbMATH Keywords: pointwise estimate
zbMATH Keywords: regularity-loss type
zbMATH Keywords: contraction mapping theorem
zbMATH Keywords: optimal decay estimates
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.04.003
OpenAlex ID: W2036096500
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DOI: 10.1016/J.JMAA.2012.04.003
description: scientific article; zbMATH DE number 6062849