Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms
In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/5866792 |
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| _version_ | 1832559638986358784 |
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| author | Ayşe Fidan Erhan Pişkin Ercan Çelik |
| author_facet | Ayşe Fidan Erhan Pişkin Ercan Çelik |
| author_sort | Ayşe Fidan |
| collection | DOAJ |
| description | In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time. |
| format | Article |
| id | doaj-art-9db0c9090ab440abbe0da9b86a438c4c |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9db0c9090ab440abbe0da9b86a438c4c2025-02-03T01:29:35ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5866792Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source TermsAyşe Fidan0Erhan Pişkin1Ercan Çelik2Institute of Natural and Applied SciencesDepartment of MathematicsDepartment of Applied Mathematics and InformaticsIn this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.http://dx.doi.org/10.1155/2024/5866792 |
| spellingShingle | Ayşe Fidan Erhan Pişkin Ercan Çelik Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms Journal of Function Spaces |
| title | Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms |
| title_full | Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms |
| title_fullStr | Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms |
| title_full_unstemmed | Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms |
| title_short | Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms |
| title_sort | existence decay and blow up of solutions for a weighted m biharmonic equation with nonlinear damping and source terms |
| url | http://dx.doi.org/10.1155/2024/5866792 |
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