141 citations · 790 across the 75 of their papers we have counts for
63 papers · 1 filter
Elliptic theory and dimension drop for operators with divergence-free form-bounded drifts in one-sided chord-arc domains
Svitlana Mayboroda, Alberto Pacati
We develop a boundary value and potential theory for elliptic operators \[ L=-\Div(A\nabla)+\B\cdot\nabla \] with form-bounded drift in one-sided chord-arc domains. Assuming that t…
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 $0<\bdmn<\dmn$,…
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…
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…