10 papers
Robin harmonic measure with a variable permeability parameter
Svitlana Mayboroda, Alberto Pacati
The paper investigates solutions to the Robin boundary value problem on bounded one-sided NTA domains with Ahlfors‑David regular boundaries, extending previous results to the case…
Physics-Informed Neural Embeddings of PDE Solution Families
Raul Jimenez, Svitlana Mayboroda, Pavlos Protopapas +3
We introduce a physics-informed framework for learning finite-dimensional embeddings of solution families of partial differential equations. The method uses a multihead Physics-Inf…
Level sets of fractional Sobolev functions
Camillo De Lellis, Ming-Yuan Chang, Svitlana Mayboroda
We prove a coarea-type result for scalar functions in fractional Sobolev spaces with , , and . Our theorem shows…
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.
Regularity thresholds for anomalous dissipation and related phenomena in passive scalars
Marco Bagnara, Daniel W. Boutros, Camillo De Lellis +1
We prove the absence of anomalous dissipation for passive scalars driven by some random autonomous divergence-free vector fields in . In dimension we just need c…
The Poisson problem in domains with Ahlfors regular boundary
Ariel Barton, Svitlana Mayboroda, Alberto Pacati
We establish well posedness of the Poisson problem in weak local John domains, for linear second order elliptic equations with real coefficients, and with data in weighted Lebesgue…