General Decay for the Degenerate Equation with a Memory Condition at the Boundary

We consider a degenerate equation with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.

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Main Authors: Su-Young Shin, Jum-Ran Kang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/682061
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author Su-Young Shin
Jum-Ran Kang
author_facet Su-Young Shin
Jum-Ran Kang
author_sort Su-Young Shin
collection DOAJ
description We consider a degenerate equation with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-5107cedfc24a4259a4c5ec208495ccbe2025-02-03T01:32:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/682061682061General Decay for the Degenerate Equation with a Memory Condition at the BoundarySu-Young Shin0Jum-Ran Kang1Department of Mathematics, Dong-A University, Saha-Ku, Busan 604-714, Republic of KoreaDepartment of Mathematics, Dong-A University, Saha-Ku, Busan 604-714, Republic of KoreaWe consider a degenerate equation with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.http://dx.doi.org/10.1155/2013/682061
spellingShingle Su-Young Shin
Jum-Ran Kang
General Decay for the Degenerate Equation with a Memory Condition at the Boundary
Abstract and Applied Analysis
title General Decay for the Degenerate Equation with a Memory Condition at the Boundary
title_full General Decay for the Degenerate Equation with a Memory Condition at the Boundary
title_fullStr General Decay for the Degenerate Equation with a Memory Condition at the Boundary
title_full_unstemmed General Decay for the Degenerate Equation with a Memory Condition at the Boundary
title_short General Decay for the Degenerate Equation with a Memory Condition at the Boundary
title_sort general decay for the degenerate equation with a memory condition at the boundary
url http://dx.doi.org/10.1155/2013/682061
work_keys_str_mv AT suyoungshin generaldecayforthedegenerateequationwithamemoryconditionattheboundary
AT jumrankang generaldecayforthedegenerateequationwithamemoryconditionattheboundary