The Stability of a Coupled Degenerate Wave System Under Boundary Control
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918430728257536 |
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| author | Sun, Ya-nan Zhang, Qiong |
| author_facet | Sun, Ya-nan Zhang, Qiong |
| contents | In this paper, we investigate a system composed of two degenerate wave equations which are connected at one point. By introducing some inequalities on the weighted spaces and employing the frequency domain method, we prove that the system is polynomially stable,which depends on the degree of the degeneracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05441 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Stability of a Coupled Degenerate Wave System Under Boundary Control Sun, Ya-nan Zhang, Qiong Analysis of PDEs 35Q74, 35Q93, 93D20 G.1.8 In this paper, we investigate a system composed of two degenerate wave equations which are connected at one point. By introducing some inequalities on the weighted spaces and employing the frequency domain method, we prove that the system is polynomially stable,which depends on the degree of the degeneracy. |
| title | The Stability of a Coupled Degenerate Wave System Under Boundary Control |
| topic | Analysis of PDEs 35Q74, 35Q93, 93D20 G.1.8 |
| url | https://arxiv.org/abs/2604.05441 |