Stability of inverse boundary value problem for the fourth-order Schrödinger equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914212218929152 |
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| author | Liu, Yang Gao, Yixian |
| author_facet | Liu, Yang Gao, Yixian |
| contents | This paper is concerned with the stability of the inverse boundary value problem for the perturbed fourth-order Schrödinger equation in a bounded domain with Cauchy data. We establish stability results for the perturbed potential relying on boundary measurements. The estimates depend on various a priori information regarding the regularity and the support of the inhomogeneity. The proof primarily utilizes the complex geometric optics solution method and Fourier analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of inverse boundary value problem for the fourth-order Schrödinger equation Liu, Yang Gao, Yixian Analysis of PDEs 35B35, 35R30, 35J40 This paper is concerned with the stability of the inverse boundary value problem for the perturbed fourth-order Schrödinger equation in a bounded domain with Cauchy data. We establish stability results for the perturbed potential relying on boundary measurements. The estimates depend on various a priori information regarding the regularity and the support of the inhomogeneity. The proof primarily utilizes the complex geometric optics solution method and Fourier analysis. |
| title | Stability of inverse boundary value problem for the fourth-order Schrödinger equation |
| topic | Analysis of PDEs 35B35, 35R30, 35J40 |
| url | https://arxiv.org/abs/2512.18212 |