4 papers · 1 filter
An Elliptic-Parabolic Free Boundary Problem with Discontinuous Data
Dennis Kriventsov, MarÃa Soria-Carro
We consider an elliptic-parabolic free boundary problem that models the fluid flow through a partially saturated porous medium. The free boundary arises as the interface separating…
Fully nonlinear parabolic fixed transmission problems
David Jesus, MarÃa Soria-Carro
We consider transmission problems for parabolic equations governed by distinct fully nonlinear operators on each side of a time-dependent interface. We prove that if the interface…
Lipschitz regularity for Poisson equations involving measures supported on interfaces
Iñigo U. Erneta, MarÃa Soria-Carro
We prove optimal Lipschitz regularity of solutions to Poisson's equation with measure data supported on a interface and with …
A parabolic free transmission problem: flat free boundaries are smooth
Dennis Kriventsov, MarÃa Soria-Carro
We study a two-phase parabolic free boundary problem motivated by the jump of conductivity in composite materials that undergo a phase transition. Each phase is governed by a heat…