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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.00399 |
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| _version_ | 1866909234589859840 |
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| author | Lefter, Catalin-George Melnig, Elena-Alexandra |
| author_facet | Lefter, Catalin-George Melnig, Elena-Alexandra |
| contents | We consider systems of reaction-diffusion equations coupled in zero order terms, with general homogeneous boundary conditions in domains with a particular geometry (annular type domains). We establish Lipschitz stability estimates in L^2 norm for the source in terms of the solution and/or its normal derivative on a connected component of the boundary. The main tools are represented by: appropriate Carleman estimates in L^2 norms, with boundary observations, and positivity improving properties for the solutions to parabolic equations and systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00399 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reaction-diffusion systems in annular domains: source stability estimates with boundary observations Lefter, Catalin-George Melnig, Elena-Alexandra Analysis of PDEs We consider systems of reaction-diffusion equations coupled in zero order terms, with general homogeneous boundary conditions in domains with a particular geometry (annular type domains). We establish Lipschitz stability estimates in L^2 norm for the source in terms of the solution and/or its normal derivative on a connected component of the boundary. The main tools are represented by: appropriate Carleman estimates in L^2 norms, with boundary observations, and positivity improving properties for the solutions to parabolic equations and systems. |
| title | Reaction-diffusion systems in annular domains: source stability estimates with boundary observations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.00399 |