5 papers
The regularity problem for parabolic operators with transversally independent coefficients
Martin Dindoš, Jill Pipher, Martin Ulmer
In this paper, we fully resolve the question of whether the Regularity problem for the parabolic PDE $\partial_tu - \mbox{div}(A\nabla u)=0$ on the domain $\mathbb R^{n+1}_+\times\…
The regularity problem for parabolic operators
Martin Dindoš, Linhan Li, Jill Pipher
In this paper, we fully resolve the question of whether the Regularity problem for the parabolic PDE $-\partial_tu + \mbox{div}(A\nabla u)=0$ on a Lipschitz cylinder $\mathcal O\ti…
Localization and interpolation of parabolic Neumann problems
Martin Dindoš, Linhan Li, Jill Pipher
We show a localization estimate for local solutions to the parabolic equation $-\partial_t u+\mbox{div} (A\nabla u)=0$ with zero Neumann data, assuming that the Neumann probl…
The Green Function for Elliptic Systems in the Upper-Half Space
Martin Dindoš, Dorina Mitrea, Irina Mitrea +1
Let be a second-order, homogeneous, constant (complex) coefficient elliptic system in . The goal of this article is provide a qualitative and quantitative study…
A relation between the Dirichlet and the Regularity problem for Parabolic equations
Martin Dindoš, Erika Nyström
We study the relationship between the Dirichlet and Regularity problem for parabolic operators of the form $ L = \mbox{div}(A\nabla\cdot) - \partial_t $ on cylindrical domains $ Ω…