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

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...

Full description

Saved in:

Bibliographic Details
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
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my.uniten.dspace-33923
record_format	dspace
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	13.222552

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

Similar Items