GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS
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....
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American Institute of Mathematical Sciences
2025
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my.uniten.dspace-362782025-03-03T15:41:47Z GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS Mezouar N. Boulaaras S. Guefaifia R. Jan R. 57193545019 36994353700 56204312000 57205596279 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. Final 2025-03-03T07:41:47Z 2025-03-03T07:41:47Z 2024 Article 10.3934/dcdss.2024082 2-s2.0-85196318497 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 17 10 3086 3101 All Open Access; Gold Open Access American Institute of Mathematical Sciences Scopus |
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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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57193545019 |
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57193545019 Mezouar N. Boulaaras S. Guefaifia R. Jan R. |
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Article |
| author |
Mezouar N. Boulaaras S. Guefaifia R. Jan R. |
| spellingShingle |
Mezouar N. Boulaaras S. Guefaifia R. Jan R. GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS |
| author_sort |
Mezouar N. |
| title |
GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS |
| title_short |
GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS |
| title_full |
GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS |
| title_fullStr |
GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS |
| title_full_unstemmed |
GLOBAL EXISTENCE AND BLOW UP OF SOLUTION OF WAVE NONLINEAR EQUATION WITH BOUNDARY FRACTIONAL DAMPING AND LOGARITHMIC SOURCE TERMS |
| title_sort |
global existence and blow up of solution of wave nonlinear equation with boundary fractional damping and logarithmic source terms |
| publisher |
American Institute of Mathematical Sciences |
| publishDate |
2025 |
| _version_ |
1825816018211045376 |