Perturbation theory for the parabolic Regularity and Neumann problem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912621335150592 |
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| author | Ulmer, Martin |
| author_facet | Ulmer, Martin |
| contents | We show small and large Carleson perturbation results for the parabolic Regularity boundary value problem with boundary data in $\dot{L}_{1,1/2}^p$ and small Carelson perturbation results for the Neumann problem with boundary data in $L^p$. The operator we consider is $L:=\partial_t -\mathrm{div}(A\nabla\cdot)$ and the domains are parabolic cylinders $Ω=\mathcal{O}\times\mathbb{R}$, where $\mathcal{O}$ is a Lipschitz domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perturbation theory for the parabolic Regularity and Neumann problem Ulmer, Martin Analysis of PDEs 35K10, 35K20 We show small and large Carleson perturbation results for the parabolic Regularity boundary value problem with boundary data in $\dot{L}_{1,1/2}^p$ and small Carelson perturbation results for the Neumann problem with boundary data in $L^p$. The operator we consider is $L:=\partial_t -\mathrm{div}(A\nabla\cdot)$ and the domains are parabolic cylinders $Ω=\mathcal{O}\times\mathbb{R}$, where $\mathcal{O}$ is a Lipschitz domain. |
| title | Perturbation theory for the parabolic Regularity and Neumann problem |
| topic | Analysis of PDEs 35K10, 35K20 |
| url | https://arxiv.org/abs/2408.12529 |