12 citations · 23 across the 4 of their papers we have counts for
4 papers
BMO solvability and the condition for second order parabolic operators
Martin Dindoš, Stefanie Petermichl, Jill Pipher
We prove that the property of parabolic measure for operators in certain time-varying domains is equivalent to a Carleson measure property of bounded solutions. Kircheim…
Square Functions and the Property of Elliptic Measures
C. Kenig, B. Kirchheim, J. Pipher +1
In this paper, we provide a new means of establishing solvability of the Dirichlet problem on Lipschitz domains, with measurable data, for second order elliptic, non-symmetric dive…
The Boundary value problems for second order elliptic operators satisfying a Carleson condition
Martin Dindoš, Jill Pipher, David Rule
Let be a Lipschitz domain in and $L=\mbox{div} (A\nabla\cdot)$ be a second order elliptic operator in divergence form. We establish solvability of the…
Multi-Parameter Div-Curl Lemmas
Michael T. Lacey, Stefanie Petermichl, Jill C. Pipher +1
We study the possible analogous of the Div-Curl Lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting.…