Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources

We investigate the extinction and decay estimates of the p-Laplacian equations with nonlinear absorptions and nonlocal sources. By Gagliardo-Nirenberg inequality, we obtain the sufficient conditions of extinction solutions, and we also give the precise decay estimates of the extinction solutions.

Bibliographic Details
Main Authors: Xiulan Wu, Jun Fu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/928080
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spelling doaj-ff38c847568448df8aa528eecde163062020-11-24T22:53:46ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/928080928080Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal SourcesXiulan Wu0Jun Fu1College of Mathematics, Jilin Normal University, Siping 136000, ChinaCollege of Mathematics, Jilin Normal University, Siping 136000, ChinaWe investigate the extinction and decay estimates of the p-Laplacian equations with nonlinear absorptions and nonlocal sources. By Gagliardo-Nirenberg inequality, we obtain the sufficient conditions of extinction solutions, and we also give the precise decay estimates of the extinction solutions.http://dx.doi.org/10.1155/2013/928080
collection DOAJ
language English
format Article
sources DOAJ
author Xiulan Wu
Jun Fu
spellingShingle Xiulan Wu
Jun Fu
Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources
Abstract and Applied Analysis
author_facet Xiulan Wu
Jun Fu
author_sort Xiulan Wu
title Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources
title_short Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources
title_full Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources
title_fullStr Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources
title_full_unstemmed Extinction and Decay Estimates of Solutions for the p-Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources
title_sort extinction and decay estimates of solutions for the p-laplacian equations with nonlinear absorptions and nonlocal sources
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We investigate the extinction and decay estimates of the p-Laplacian equations with nonlinear absorptions and nonlocal sources. By Gagliardo-Nirenberg inequality, we obtain the sufficient conditions of extinction solutions, and we also give the precise decay estimates of the extinction solutions.
url http://dx.doi.org/10.1155/2013/928080
work_keys_str_mv AT xiulanwu extinctionanddecayestimatesofsolutionsfortheplaplacianequationswithnonlinearabsorptionsandnonlocalsources
AT junfu extinctionanddecayestimatesofsolutionsfortheplaplacianequationswithnonlinearabsorptionsandnonlocalsources
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