The $L^p$ Neumann problem for parabolic operators with coefficients satisfying small Carleson condition
Year: 2026
Type: preprint
Abstract: In this paper, we resolve the question of whether the Neumann problem for the parabolic PDE $-\partial_tu + \mathrm{div}(A\nabla u)=0$ on a Lipschitz cylinder $\mathcal O\times\mathbb R$ is solvable for some $p\in (1,\infty)$ under the assumption that the matrix $A$ is elliptic with bounded and measurable coefficients that satisfy a natural Carleson condition (a parabolic analog of the so-called DKP-condition). We prove that for any $1
Source: arXiv (Cornell University)
Authors: Dindoš, Martin, Li, Linhan, Pipher, Jill
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7164028668