Homogenization of a semilinear elliptic problem
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866908562120245248 |
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| author | Dang, Thuyen Gorb, Yuliya Bolaños, Silvia Jiménez |
| author_facet | Dang, Thuyen Gorb, Yuliya Bolaños, Silvia Jiménez |
| contents | We consider the homogenization of a semilinear elliptic equation where the coefficients of the second-order differential operator may be discontinuous. We establish the existence and uniqueness of the fine-scale solution, followed by an a priori estimate. The homogenized equation is derived using two-scale convergence, and a corrector result is also provided |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization of a semilinear elliptic problem Dang, Thuyen Gorb, Yuliya Bolaños, Silvia Jiménez Analysis of PDEs We consider the homogenization of a semilinear elliptic equation where the coefficients of the second-order differential operator may be discontinuous. We establish the existence and uniqueness of the fine-scale solution, followed by an a priori estimate. The homogenized equation is derived using two-scale convergence, and a corrector result is also provided |
| title | Homogenization of a semilinear elliptic problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.22859 |