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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Multidisciplinary Digital Publishing Institute (MDPI)
2024
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| _version_ | 1833351294187732992 |
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| author | Benramdane A. Mezouar N. Bensaber F. Boulaaras S. Jan R. |
| author2 | 57223256329 |
| author_facet | 57223256329 Benramdane A. Mezouar N. Bensaber F. Boulaaras S. Jan R. |
| author_sort | Benramdane A. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| 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. |
| format | Article |
| id | my.uniten.dspace-33923 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2024 |
| publisher | Multidisciplinary Digital Publishing Institute (MDPI) |
| 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 |
| 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 |
| title | 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_short | 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 |
| topic | blow-up fractional boundary dissipation logarithmic Lam� system mathematical operators partial differential equations |
| url_provider | http://dspace.uniten.edu.my/ |