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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…
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 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…