Deviation identity for linear differential operators and its application to obstacle problems
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916734951227392 |
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| author | Darovskaya, Kseniya |
| author_facet | Darovskaya, Kseniya |
| contents | For a class of variational problems with linear differential operator, we obtain a convenient form of the deviation identity, i.e., the value of the distance between approximated solutions and the exact ones. We illustrate the result with an explicit form of the deviation identity for a biharmonic obstacle problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08112 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deviation identity for linear differential operators and its application to obstacle problems Darovskaya, Kseniya Analysis of PDEs 49N15, 35R35, 35J65, 35Q74 For a class of variational problems with linear differential operator, we obtain a convenient form of the deviation identity, i.e., the value of the distance between approximated solutions and the exact ones. We illustrate the result with an explicit form of the deviation identity for a biharmonic obstacle problem. |
| title | Deviation identity for linear differential operators and its application to obstacle problems |
| topic | Analysis of PDEs 49N15, 35R35, 35J65, 35Q74 |
| url | https://arxiv.org/abs/2505.08112 |