On the wave equation with variable exponent nonlinearity and distributive delay
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912131162570752 |
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| author | Kafini, Mohammad |
| author_facet | Kafini, Mohammad |
| contents | In this work, we are concerned with a nonlinear wave equation with variable exponents. A distributive delay is imposed into the damping term with variable exponents nonlinearity. Firstly, we show that the global nonexistence time can be dominated. Secondly, global existence of solutions is shown under some suitable conditions on the initial data. Finally, the decay rates of that solutions are established as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the wave equation with variable exponent nonlinearity and distributive delay Kafini, Mohammad Analysis of PDEs 35B05 In this work, we are concerned with a nonlinear wave equation with variable exponents. A distributive delay is imposed into the damping term with variable exponents nonlinearity. Firstly, we show that the global nonexistence time can be dominated. Secondly, global existence of solutions is shown under some suitable conditions on the initial data. Finally, the decay rates of that solutions are established as well. |
| title | On the wave equation with variable exponent nonlinearity and distributive delay |
| topic | Analysis of PDEs 35B05 |
| url | https://arxiv.org/abs/2411.15528 |