Perturbation theory for the parabolic regularity problem
We show small and large Carleson perturbation results for the parabolic regularity boundary value problem with boundary data in $\dot{L}_{1,1/2}^p$. The operator we consider is $L:=\partial_t -\mathrm{div}(A\nabla\cdot)$ and the domains are parabolic cylinders $\Omega=\mathcal{O}\times\mathbb{R}$, w...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
22.08.2024
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We show small and large Carleson perturbation results for the parabolic
regularity boundary value problem with boundary data in $\dot{L}_{1,1/2}^p$.
The operator we consider is $L:=\partial_t -\mathrm{div}(A\nabla\cdot)$ and the
domains are parabolic cylinders $\Omega=\mathcal{O}\times\mathbb{R}$, where
$\mathcal{O}$ is a chord arc domain or Lipschitz domain. |
|---|---|
| DOI: | 10.48550/arxiv.2408.12529 |