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Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the...

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Main Authors: Benramdane A., Mezouar N., Bensaber F., Boulaaras S., Jan R.
Other Authors: 57223256329
Format: Article
Published: Multidisciplinary Digital Publishing Institute (MDPI) 2024
Subjects:
blow-up
fractional boundary dissipation
logarithmic Lam� system
mathematical operators
partial differential equations
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id my.uniten.dspace-33923
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spelling my.uniten.dspace-339232024-10-14T11:17:27Z Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms Benramdane A. Mezouar N. Bensaber F. Boulaaras S. Jan R. 57223256329 57193545019 57780417100 36994353700 57205596279 blow-up fractional boundary dissipation logarithmic Lam� system mathematical operators partial differential equations In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the condition of non-positive initial energy. � 2023 by the authors. Final 2024-10-14T03:17:26Z 2024-10-14T03:17:26Z 2023 Article 10.3390/math11224591 2-s2.0-85178126501 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85178126501&doi=10.3390%2fmath11224591&partnerID=40&md5=596f673ed4cdd8ea5359b070907aa613 https://irepository.uniten.edu.my/handle/123456789/33923 11 22 4591 All Open Access Gold Open Access Multidisciplinary Digital Publishing Institute (MDPI) Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic blow-up
fractional boundary dissipation
logarithmic Lam� system
mathematical operators
partial differential equations
spellingShingle blow-up
fractional boundary dissipation
logarithmic Lam� system
mathematical operators
partial differential equations
Benramdane A.
Mezouar N.
Bensaber F.
Boulaaras S.
Jan R.
Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms
description In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the condition of non-positive initial energy. � 2023 by the authors.
author2 57223256329
author_facet 57223256329
Benramdane A.
Mezouar N.
Bensaber F.
Boulaaras S.
Jan R.
format Article
author Benramdane A.
Mezouar N.
Bensaber F.
Boulaaras S.
Jan R.
author_sort Benramdane A.
title Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms
title_short Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms
title_full Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms
title_fullStr Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms
title_full_unstemmed Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms
title_sort blow-up of solution of lam� wave equation with fractional damping and logarithmic nonlinearity source terms
publisher Multidisciplinary Digital Publishing Institute (MDPI)
publishDate 2024
_version_ 1814061031916306432
score 13.214268

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