M. Dindoš

The Regularity datum on time-varying graph domains and Dirichlet--Regularity duality

In this paper we address a basic question that has not been considered in the literature on the parabolic Regularity problem. Let $\Omega$ be the region above the graph of a $\mathrm{Lip}(1,\tfrac12)$ function $\phi$ on $\mathbb R^{n-1}\times\mathbb R$. The corresponding $\dot L^p_{1,1/2}$ Regularity boundary space on...