Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity
We construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations. The corresponding results for equations with classical Laplacian are considered as particular cases of our assertions.
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-09-01
|
| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024243 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590788310073344 |
|---|---|
| author | Bidi Younes Abderrahmane Beniani Khaled Zennir Zayd Hajjej Hongwei Zhang |
| author_facet | Bidi Younes Abderrahmane Beniani Khaled Zennir Zayd Hajjej Hongwei Zhang |
| author_sort | Bidi Younes |
| collection | DOAJ |
| description | We construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations. The corresponding results for equations with classical Laplacian are considered as particular cases of our assertions. |
| format | Article |
| id | doaj-art-fd481880cd3c4961bb9f0ea371f15cae |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-fd481880cd3c4961bb9f0ea371f15cae2025-01-23T07:52:42ZengAIMS PressElectronic Research Archive2688-15942024-09-013295268528610.3934/era.2024243Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearityBidi Younes0Abderrahmane Beniani1Khaled Zennir2Zayd Hajjej3Hongwei Zhang4Department of Mathematics, College of Science, University of Djillali Liabes - B. P. 89, Sidi Bel Abbes 22000, AlgeriaEngineering and Sustainable Development Laboratory, Faculty of Science and Technology, , University of Ain Temouchent, Ain Temouchent, 46000, AlgeriaDepartment of Mathematics, Faculty of Sciences, University 20 Août 1955- Skikda, AlgeriaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, Henan University of Technology, Zhengzhou 450001, ChinaWe construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations. The corresponding results for equations with classical Laplacian are considered as particular cases of our assertions.https://www.aimspress.com/article/doi/10.3934/era.2024243fractional laplaciandifferential equationsglobal existencepartial differential equationslogarithmic nonlinearitygalerkin approximations |
| spellingShingle | Bidi Younes Abderrahmane Beniani Khaled Zennir Zayd Hajjej Hongwei Zhang Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity Electronic Research Archive fractional laplacian differential equations global existence partial differential equations logarithmic nonlinearity galerkin approximations |
| title | Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity |
| title_full | Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity |
| title_fullStr | Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity |
| title_full_unstemmed | Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity |
| title_short | Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity |
| title_sort | global solution for wave equation involving the fractional laplacian with logarithmic nonlinearity |
| topic | fractional laplacian differential equations global existence partial differential equations logarithmic nonlinearity galerkin approximations |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024243 |
| work_keys_str_mv | AT bidiyounes globalsolutionforwaveequationinvolvingthefractionallaplacianwithlogarithmicnonlinearity AT abderrahmanebeniani globalsolutionforwaveequationinvolvingthefractionallaplacianwithlogarithmicnonlinearity AT khaledzennir globalsolutionforwaveequationinvolvingthefractionallaplacianwithlogarithmicnonlinearity AT zaydhajjej globalsolutionforwaveequationinvolvingthefractionallaplacianwithlogarithmicnonlinearity AT hongweizhang globalsolutionforwaveequationinvolvingthefractionallaplacianwithlogarithmicnonlinearity |