127 citations · 205 across the 19 of their papers we have counts for
26 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…
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…
Periodic homogenization and harmonic measures
Guy David, Antoine Gloria, Svitlana Mayboroda +1
Since the seminal work of Kenig and Pipher, the Dahlberg-Kenig-Pipher (DKP) condition on oscillations of the coefficient matrix became a standard threshold in the study of absolute…
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…
The landscape function on
Guy David, Antoine Gloria, Svitlana Mayboroda
Consider the Schrödinger operator with non-negative iid random potential of strength . We prove existence and uniqueness of the associated landscape functi…
Small results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries
Guy David, Linhan Li, Svitlana Mayboroda
In the present paper, we consider elliptic operators in a domain bounded by a chord-arc surface with small enough constant, and whose coefficients $A…