14 citations · 46 across the 25 of their papers we have counts for
28 papers
Recovering Sharp Conductivity Features in the Finite-Data Calderón Problem with Physics-Informed Neural Networks
Ali AlHadi Kalout, Pablo Tejerina-Pérez, Konstantin Karchev +5
Physics-informed neural networks (PINNs) have recently emerged as a promising framework for addressing the Calderón inverse problem from limited boundary data. In this work, we rev…
What is ... Robin harmonic measure?
Max Engelstein, Marcel Filoche, Svitlana Mayboroda
We present here the Robin boundary condition and its significance in mathematics and physics.
Robin Green Function Estimates and a Model of Mammalian Lungs
Guy David, Stefano Decio, Max Engelstein +3
The present paper establishes delicate properties of the Green function with Robin boundary conditions, in particular, elucidating the nature of the passage between the Dirichlet-l…
Dimension and structure of the Robin Harmonic Measure on Rough Domains
Guy David, Stefano Decio, Max Engelstein +2
The present paper establishes that the Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any…
Graphical solutions to one-phase free boundary problems
Max Engelstein, Xavier Fernández-Real, Hui Yu
We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous functi…
Slowly vanishing mean oscillations: non-uniqueness of blow-ups in a two-phase free boundary problem
Matthew Badger, Max Engelstein, Tatiana Toro
In Kenig and Toro's two-phase free boundary problem, one studies how the regularity of the Radon-Nikodym derivative of harmonic measures on complementary NTA domains…