Publication:
GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS

Date
2024
Authors
Mezouar N.
Boulaaras S.
Guefaifia R.
Jan R.
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American Institute of Mathematical Sciences
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Abstract
In this study, a global solution is presented for an initial boundary value problem involving a wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. The solution is obtained through the application of the energy method combined with the Faedo-Galarkin procedure. Additionally, a blow-up result for the solution is established, contingent upon the condition of non-positive initial energy. ? 2024 American Institute of Mathematical Sciences. All rights reserved.
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85196318497&doi=10.3934%2fdcdss.2024082&partnerID=40&md5=a339e0433f746c9fb88e7c7c7eefc0b6
 https://irepository.uniten.edu.my/handle/123456789/36278
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