Identification of Source Terms in the Ginzburg-Landau Equation from Final Data
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908641238450176 |
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| author | Morales, Roberto Javier-Ramírez-Ganga |
| author_facet | Morales, Roberto Javier-Ramírez-Ganga |
| contents | In this article, we study an inverse problem consisting in the identification of a space-time dependent source term in the Ginzburg-Landau equation from final-time observations. We adopt a weak-solution framework and analyze Tikhonov's functional, deriving an explicit gradient formula via an adjoint system and proving its Lipschitz continuity. We then establish existence and uniqueness results for quasi-solutions, and validate the theory with numerical experiments based on iterative methods. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_07345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identification of Source Terms in the Ginzburg-Landau Equation from Final Data Morales, Roberto Javier-Ramírez-Ganga Analysis of PDEs Optimization and Control 35Q56, 35R30, 49N45, 65N21 In this article, we study an inverse problem consisting in the identification of a space-time dependent source term in the Ginzburg-Landau equation from final-time observations. We adopt a weak-solution framework and analyze Tikhonov's functional, deriving an explicit gradient formula via an adjoint system and proving its Lipschitz continuity. We then establish existence and uniqueness results for quasi-solutions, and validate the theory with numerical experiments based on iterative methods. |
| title | Identification of Source Terms in the Ginzburg-Landau Equation from Final Data |
| topic | Analysis of PDEs Optimization and Control 35Q56, 35R30, 49N45, 65N21 |
| url | https://arxiv.org/abs/2511.07345 |