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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.23582 |
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| _version_ | 1866912796768206848 |
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| author | Neuttiens, Guillaume Sauer, Jonas |
| author_facet | Neuttiens, Guillaume Sauer, Jonas |
| contents | A well-posedness and maximal regularity result for the time-periodic Cahn-Hilliard-Gurtin system in the half space is proved. For this purpose, we introduce a novel class of complementing boundary conditions, extending the classical Lopatinski\uı-Shapiro conditions from elliptic and parabolic theory to time-periodic mixed-order systems with general boundary conditions. Moreover, we show that the classical Lopatinski\uı-Shapiro conditions are in general insufficient for well-posedness of mixed-order systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23582 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Time-Periodic Cahn-Hilliard-Gurtin System on the Half Space as a Mixed-Order System with General Boundary Conditions Neuttiens, Guillaume Sauer, Jonas Analysis of PDEs 35B65, 35G45, 35M32, 82C26 A well-posedness and maximal regularity result for the time-periodic Cahn-Hilliard-Gurtin system in the half space is proved. For this purpose, we introduce a novel class of complementing boundary conditions, extending the classical Lopatinski\uı-Shapiro conditions from elliptic and parabolic theory to time-periodic mixed-order systems with general boundary conditions. Moreover, we show that the classical Lopatinski\uı-Shapiro conditions are in general insufficient for well-posedness of mixed-order systems. |
| title | The Time-Periodic Cahn-Hilliard-Gurtin System on the Half Space as a Mixed-Order System with General Boundary Conditions |
| topic | Analysis of PDEs 35B65, 35G45, 35M32, 82C26 |
| url | https://arxiv.org/abs/2512.23582 |