학술논문
DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH MEMORY-TYPE DISSIPATION.
Document Type
Article
Author
Source
Subject
*TIMOSHENKO beam theory
*INITIAL value problems
*MATHEMATICAL transformations
*ESTIMATION theory
*MATHEMATICAL constants
*MATHEMATICAL models
*MATHEMATICAL functions
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Language
ISSN
0218-2025
Abstract
In this paper we consider the initial value problem for the Timoshenko system with a memory term. We construct the fundamental solution by using the Fourier-Laplace transform and obtain the solution formula of the problem. Moreover, applying the energy method in the Fourier space, we derive the pointwise estimate of solutions in the Fourier space, which gives a sharp decay estimate of solutions. It is shown that the decay property of the system is of the regularity-loss type and is weaker than that of the Timoshenko system with a frictional dissipation. [ABSTRACT FROM AUTHOR]