Boundary Exponential Stabilization for the Linear KP-II equation without Critical Size Restrictions
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917980021981184 |
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| author | Gallego, F. A. Muñoz, J. R. |
| author_facet | Gallego, F. A. Muñoz, J. R. |
| contents | In this paper, we delve into the intricacies of boundary stabilization for the linearized KP-II equation within the constraints of a bounded domain, a phenomenon known as ``critical length." Our primary aim is to design a feedback law that ensures the existence and exponential stabilization of solutions in the energy space, without length restrictions on the domain $ Ω= (0, L) \times (0, L)$, $ L > 0 $. Furthermore, we examine the interaction between the drift term $ u_x $ under these constraints. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_02294 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary Exponential Stabilization for the Linear KP-II equation without Critical Size Restrictions Gallego, F. A. Muñoz, J. R. Analysis of PDEs 35Q53, 93D15, 93D23, 93D30 In this paper, we delve into the intricacies of boundary stabilization for the linearized KP-II equation within the constraints of a bounded domain, a phenomenon known as ``critical length." Our primary aim is to design a feedback law that ensures the existence and exponential stabilization of solutions in the energy space, without length restrictions on the domain $ Ω= (0, L) \times (0, L)$, $ L > 0 $. Furthermore, we examine the interaction between the drift term $ u_x $ under these constraints. |
| title | Boundary Exponential Stabilization for the Linear KP-II equation without Critical Size Restrictions |
| topic | Analysis of PDEs 35Q53, 93D15, 93D23, 93D30 |
| url | https://arxiv.org/abs/2312.02294 |