1 citations · 1 across the 4 of their papers we have counts for
8 papers
The Neumann problem for parabolic operators with coefficients satisfying small Carleson condition
Martin Dindoš, Linhan Li, Jill Pipher
In this paper, we resolve the question of whether the Neumann problem for the parabolic PDE on a Lipschitz cylinder $\mathcal O\times\mat…
Stability of Dirichlet problem under small bi-Lipschitz transformations of domains
Joseph Feneuil, Linhan Li, Jinping Zhuge
We show that small bi-Lipschitz deformations of a Lipschitz domain (with possibly large Lipschitz constant) preserve the solvability of the Dirichlet problem for the Laplacian with…
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 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…
The Poisson-Neumann problem and its relation to the Neumann problem
Joseph Feneuil, Linhan Li
We introduce the Poisson-Neumann problem for an uniformly elliptic operator in divergence form in a bounded 1-sided Chord Arc Domain , which consider…
Green functions and smooth distances
Joseph Feneuil, Linhan Li, Svitlana Mayboroda
In the present paper, we show that for an optimal class of elliptic operators with non-smooth coefficients on a 1-sided Chord-Arc domain, the boundary of the domain is uniformly re…