Perturbation theory for the parabolic regularity problem

• Main Author: Ulmer, Martin
• Format: Journal Article
• Language: English
• Published: 22.08.2024
• Subjects: Mathematics - Analysis of PDEs

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...