141 citations · 790 across the 75 of their papers we have counts for
89 papers
The Dirichlet problem with boundary data of fractional smoothness in domains with Ahlfors regular boundary
Ariel Barton, Svitlana Mayboroda, Alberto Pacati
We establish well posedness of the Dirichlet problem in weak local John domains $Ω\subset\R^\dmn$ with Ahlfors regular boundaries of possibly non integer dimension $0<\bdmn<\dmn$,…
Scalar Dissipation Criticality in Compressible Magnetized Turbulence
Svitlana Mayboroda, David N. Spergel, Camillo De Lellis
We extend the Obukhov-Corrsin theory of scalar turbulence to compressible flows with spatially variable, anisotropic diffusivity. Combining density and diffusivity into a single po…
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 t…
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.
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…