Editor/Reviewer loginFrequency : 12 issues per year
Subject : Computer Applications and Technology
ISSN : 2319–8656 (Online)
IJCATR Volume 9 Issue 3
Memory Effect on Decay Property of Solutions to Plate Equations
Yongqin Liu,Xuehui Wu
10.7753/IJCATR0903.1003
keywords : plate equation; memory; decay estimates; regularity-loss type; initial-value problem
In this paper we focus on the initial-value problem of linear plate equations with memory in multi-dimensions, the decay structure of which is of regularity-loss property. We obtain fundamental solutions by using Fourier transform and Laplace transform. By virtue of the point-wise estimate of solutions in the Fourier space, we gain estimates and properties of solution operators, by utilizing which decay estimates of solutions to the linear problem are obtained and the decay rate can be as large as desired if the initial data are sufficiently smooth
@artical{y932020ijcatr09031003,
Title = "Memory Effect on Decay Property of Solutions to Plate Equations ",
Journal ="International Journal of Computer Applications Technology and Research(IJCATR)",
Volume = "9",
Issue ="3",
Pages ="102 - 109",
Year = "2020",
Authors ="Yongqin Liu,Xuehui Wu"}
Research Highlight 1 The paper deals with the memory effect on the decay of solutions
Research Highlight 2 The energy method in the Fourier space is used
Research Highlight 3 The decay structure is of regularity-loss property
Research Highlight 4 Energy estimates and decay estimates of solutions are obtained.