4 citations · 5 across the 6 of their papers we have counts for
10 papers · 1 filter
Regularity theory for fully nonlinear parabolic obstacle problems
Alessandro Audrito, Teo Kukuljan
We study the free boundary of solutions to the parabolic obstacle problem with fully nonlinear diffusion. We show that the free boundary splits into a regular and a singular part:…
Convergence in relative error for the Porous Medium equation in a tube
Alessandro Audrito, Alejandro Gárriz, Fernando Quirós
Given a bounded domain and , we study the long-time behaviour of solutions to the Porous Medium equation (PME) posed in a tube \[ \partial_tu = Δu^m…
Interface regularity for semilinear one-phase problems
Alessandro Audrito, Joaquim Serra
We study critical points of a one-parameter family of functionals arising in combustion models. The problems we consider converge, for infinitesimal values of the parameter, to Ber…
The Neumann problem for the fractional Laplacian: regularity up to the boundary
Alessandro Audrito, Juan-Carlos Felipe-Navarro, Xavier Ros-Oton
We study the regularity up to the boundary of solutions to the Neumann problem for the fractional Laplacian. We prove that if is a weak solution of in , $\mathc…
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Alessandro Audrito, Enrico Serra, Paolo Tilli
We study the existence of segregated solutions to a class of reaction-diffusion systems with strong interactions, arising in many physical applications. These special solutions are…
The Dirichlet problem for nonlocal elliptic operators with exterior data
Alessandro Audrito, Xavier Ros-Oton
In this note we study the boundary regularity of solutions to nonlocal Dirichlet problems of the form in , in , in non-smooth domains . Wh…