General decay rate estimates for viscoelastic wave equation with Balakrishnan–Taylor damping

Tae Gab Ha

doi:10.1007/s00033-016-0625-3

General decay rate estimates for viscoelastic wave equation with Balakrishnan–Taylor damping

Tae Gab Ha^*

^*Corresponding author for this work

Department of Mathematics

Pusan National University

Research output: Contribution to journal › Journal article › peer-review

18 Scopus citations

Abstract

In this paper, we consider the viscoelastic wave equation with Balakrishnan–Taylor damping. This work is devoted to prove uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening the usual assumptions on the relaxation function. Our estimate depends both on the behavior of the damping term near zero and on behavior of the relaxation function at infinity.

Original language	English
Article number	32
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	67
Issue number	2
DOIs	https://doi.org/10.1007/s00033-016-0625-3
State	Published - 2016.04.1

Keywords

Asymptotic behavior at zero and infinity
Balakrishnan–Taylor damping
Viscoelastic wave equation

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10.1007/s00033-016-0625-3

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title = "General decay rate estimates for viscoelastic wave equation with Balakrishnan–Taylor damping",

abstract = "In this paper, we consider the viscoelastic wave equation with Balakrishnan–Taylor damping. This work is devoted to prove uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening the usual assumptions on the relaxation function. Our estimate depends both on the behavior of the damping term near zero and on behavior of the relaxation function at infinity.",

keywords = "Asymptotic behavior at zero and infinity, Balakrishnan–Taylor damping, Viscoelastic wave equation",

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AU - Ha, Tae Gab

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AB - In this paper, we consider the viscoelastic wave equation with Balakrishnan–Taylor damping. This work is devoted to prove uniform decay rates of the energy without imposing any restrictive growth assumption on the damping term and weakening the usual assumptions on the relaxation function. Our estimate depends both on the behavior of the damping term near zero and on behavior of the relaxation function at infinity.

KW - Asymptotic behavior at zero and infinity

KW - Balakrishnan–Taylor damping

KW - Viscoelastic wave equation

UR - https://www.scopus.com/pages/publications/84962820717

U2 - 10.1007/s00033-016-0625-3

DO - 10.1007/s00033-016-0625-3

M3 - Journal article

AN - SCOPUS:84962820717

SN - 0044-2275

VL - 67

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 2

M1 - 32

ER -

General decay rate estimates for viscoelastic wave equation with Balakrishnan–Taylor damping

Abstract

Keywords

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