Null controllability of damped nonlinear wave equation
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866918189259030528 |
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| author | Cui, Yan Lu, Peng Zhou, Yi |
| author_facet | Cui, Yan Lu, Peng Zhou, Yi |
| contents | In this paper, we investigate the null controllability of nonlinear wave systems. Initially, we employ a combination of the Galerkin method and a fixed point theorem to establish the null controllability for semi-linear wave equations with nonlinear functions that are dependent on velocities, under the geometric control condition. Subsequently, utilizing a novel iterative method, we demonstrate the null controllability for a class of quasi-linear wave systems in a constructive manner. Lastly, we present a control result for a class of fully nonlinear wave systems, serving as an application. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_15449 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Null controllability of damped nonlinear wave equation Cui, Yan Lu, Peng Zhou, Yi Analysis of PDEs Optimization and Control In this paper, we investigate the null controllability of nonlinear wave systems. Initially, we employ a combination of the Galerkin method and a fixed point theorem to establish the null controllability for semi-linear wave equations with nonlinear functions that are dependent on velocities, under the geometric control condition. Subsequently, utilizing a novel iterative method, we demonstrate the null controllability for a class of quasi-linear wave systems in a constructive manner. Lastly, we present a control result for a class of fully nonlinear wave systems, serving as an application. |
| title | Null controllability of damped nonlinear wave equation |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2211.15449 |