Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity

The present research paper is related to the analytical studies of p-Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the global existence and decay estimates of solutions.

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Main Authors: Salah Mahmoud Boulaaras, Abdelbaki Choucha, Abderrahmane Zara, Mohamed Abdalla, Bahri-Belkacem Cheri
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5558818
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author Salah Mahmoud Boulaaras
Abdelbaki Choucha
Abderrahmane Zara
Mohamed Abdalla
Bahri-Belkacem Cheri
author_facet Salah Mahmoud Boulaaras
Abdelbaki Choucha
Abderrahmane Zara
Mohamed Abdalla
Bahri-Belkacem Cheri
author_sort Salah Mahmoud Boulaaras
collection DOAJ
description The present research paper is related to the analytical studies of p-Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the global existence and decay estimates of solutions.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-fb963e2d149e4aeba62c4adc2eea23742025-02-03T05:52:58ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55588185558818Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic NonlinearitySalah Mahmoud Boulaaras0Abdelbaki Choucha1Abderrahmane Zara2Mohamed Abdalla3Bahri-Belkacem Cheri4Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaLaboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued, AlgeriaDepartment of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, 12002 Tebessa, AlgeriaMathematics Department, College of Science, King Khalid University, Abha 61413, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaThe present research paper is related to the analytical studies of p-Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the global existence and decay estimates of solutions.http://dx.doi.org/10.1155/2021/5558818
spellingShingle Salah Mahmoud Boulaaras
Abdelbaki Choucha
Abderrahmane Zara
Mohamed Abdalla
Bahri-Belkacem Cheri
Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity
Journal of Function Spaces
title Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity
title_full Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity
title_fullStr Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity
title_full_unstemmed Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity
title_short Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity
title_sort global existence and decay estimates of energy of solutions for a new class of p laplacian heat equations with logarithmic nonlinearity
url http://dx.doi.org/10.1155/2021/5558818
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