Regularity of solutions to time-harmonic Maxwell's system with Hölder and various lower than Hölder continuous coefficients
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912072454897664 |
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| author | Yu, Lei Tsering-xiao, Basang |
| author_facet | Yu, Lei Tsering-xiao, Basang |
| contents | The purpose of this paper is to establish a complete Schauder theory for the second-order linear elliptic equation and the time-harmonic Maxwell's system. We prove global Hölder regularity for the solutions to the time-harmonic anisotropic Maxwell's equations under Hölder continuous coefficients, raising the Hölder index to the interval (0,1) |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10462 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of solutions to time-harmonic Maxwell's system with Hölder and various lower than Hölder continuous coefficients Yu, Lei Tsering-xiao, Basang Analysis of PDEs The purpose of this paper is to establish a complete Schauder theory for the second-order linear elliptic equation and the time-harmonic Maxwell's system. We prove global Hölder regularity for the solutions to the time-harmonic anisotropic Maxwell's equations under Hölder continuous coefficients, raising the Hölder index to the interval (0,1) |
| title | Regularity of solutions to time-harmonic Maxwell's system with Hölder and various lower than Hölder continuous coefficients |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.10462 |