11 citations · 25 across the 10 of their papers we have counts for
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Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates
Simon Bortz, Steve Hofmann, José Luis Luna Garcia +2
This is the final part of a series of papers where we study perturbations of divergence form second order elliptic operators by first and zero order…
On an almost sharp Liouville type theorem for fractional Navier-Stokes equations
Diego Chamorro, Bruno Poggi
We investigate existence, Liouville type theorems and regularity results for the 3D stationary and incompressible fractional Navier-Stokes equations: in this setting the usual Lapl…
Solvability of the Poisson-Dirichlet problem with interior data in -Carleson spaces and its applications to the -regularity problem
Mihalis Mourgoglou, Bruno Poggi, Xavier Tolsa
We prove that the -solvability of the homogeneous Dirichlet problem for an elliptic operator with real and merely bounded coefficients is equ…
Applications of the landscape function for Schrödinger operators with singular potentials and irregular magnetic fields
Bruno Poggi
We resolve both a conjecture and a problem of Z. Shen from the 90's regarding non-asymptotic bounds on the eigenvalue counting function of the magnetic Schrödinger operator $L_{{\b…
Generalized Carleson perturbations of elliptic operators and applications
Joseph Feneuil, Bruno Poggi
We extend in two directions the notion of perturbations of Carleson type for the Dirichlet problem associated to an elliptic real second-order divergence-form (possibly degenerate,…
Carleson perturbations of elliptic operators on domains with low dimensional boundaries
Svitlana Mayboroda, Bruno Poggi
We prove an analogue of a perturbation result for the Dirichlet problem of divergence form elliptic operators by Fefferman, Kenig and Pipher, for the degenerate elliptic operators…
Critical Perturbations for Second Order Elliptic Operators. Part I: Square function bounds for layer potentials
Simon Bortz, Steve Hofmann, José Luis Luna Garcia +2
This is the first part of a series of two papers where we study perturbations of divergence form second order elliptic operators by first an…
Failure to slide: a brief note on the interplay between the Kenig-Pipher condition and the absolute continuity of elliptic measures
Bruno Poggi
In this note, we explore some consequences of the Modica-Mortola construction of a singular elliptic measure, as regards the link between the quantitative absolute continuity ($A_{…
Optimal Stefan Problem
Ugur G. Abdulla, Bruno Poggi
We consider the inverse multiphase Stefan problem with homogeneous Dirichlet boundary condition on a bounded Lipschitz domain, where the density of the heat source is unknown in ad…
Exponential decay estimates for fundamental solutions of Schrödinger-type operators
Svitlana Mayboroda, Bruno Poggi
In the present paper we establish sharp exponential decay estimates for operator and integral kernels of the (not necessarily self-adjoint) operators $L=-(\nabla-i\mathbf{a})^TA(\n…
Optimal Control of the Multiphase Stefan Problem
Ugur G. Abdulla, Bruno Poggi
We consider the inverse multiphase Stefan problem, where information on the heat flux on the fixed boundary is missing and must be found along with the temperature and free boundar…