Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916813966671872 |
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| author | Continelli, Elisa Pignotti, Cristina |
| author_facet | Continelli, Elisa Pignotti, Cristina |
| contents | In this paper, we study well-posedness and exponential stability for semilinear second order evolution equations with memory and time-varying delay feedback. The time delay function is assumed to be continuous and bounded. Under a suitable assumption on the delay feedback, we are able to prove that solutions corresponding to small initial data are globally defined and satisfy an exponential decay estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17706 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback Continelli, Elisa Pignotti, Cristina Analysis of PDEs In this paper, we study well-posedness and exponential stability for semilinear second order evolution equations with memory and time-varying delay feedback. The time delay function is assumed to be continuous and bounded. Under a suitable assumption on the delay feedback, we are able to prove that solutions corresponding to small initial data are globally defined and satisfy an exponential decay estimate. |
| title | Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.17706 |