10 citations · 18 across the 8 of their papers we have counts for
9 papers
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…
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=…
Boundary value problems for elliptic operators satisfying Carleson condition
Martin Dindoš, Jill Pipher
In this paper we present in concise form recent results, with illustrative proofs, on solvability of the Dirichlet, Regularity and Neumann problems for scalar elliptic equati…
The Dirichlet and Regularity problems for second order Elliptic Systems with application to the Lamé system
Martin Dindoš
In the paper arXiv:1708.02289 we have introduced new solvability methods for strongly elliptic second order systems in divergence form on a domains above a Lipschitz graph, satisfy…
Boundary value problems for second order elliptic operators with complex coefficients
Martin Dindoš, Jill Pipher
The theory of second order complex coefficient operators of the form $\mathcal{L}=\mbox{div} A(x)\nabla$ has recently been developed under the assumption of -ellipticity. In par…
Parabolic Dirichlet Boundary Value Problem and VMO-type time-varying domains
Martin Dindoš, Luke Dyer, Sukjung Hwang
We prove the solvability of the parabolic Dirichlet boundary value problem for for a PDE of the form $u_t = \mbox{div} (A \nabla u) + B \cdot \nabla u$ on…
The sharp constant for weights in a reverse-Hölder class
Martin Dindoš, Treven Wall
In a recent paper V. Vasyunin presented a proof of the reverse Hölder inequality with sharp constants for the weights satisfying the usual Muckenhoupt condition. In this paper we p…