5 citations · 16 across the 7 of their papers we have counts for
4 papers · 1 filter
On viscosity and equivalent notions of solutions for anisotropic geometric equations
Cecilia De Zan, Pierpaolo Soravia
We prove that viscosity solutions of geometric equations in step two Carnot groups can be equivalently reformulated by restricting the set of test functions at the singular points.…
The Aronsson equation, Lyapunov functions and local Lipschitz regularity of the minimum time function
Pierpaolo Soravia
We define and study solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the t…
Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets
Martino Bardi, Ermal Feleqi, Pierpaolo Soravia
In this paper we relax the current regularity theory for the eikonal equation by using the recent theory of { set-valued} iterated Lie brackets. We give sufficient conditions for s…
Singular limits of reaction diffusion equations and geometric flows with discontinuous velocity
Cecilia De Zan, Pierpaolo Soravia
We consider the singular limit of a bistable reaction diffusion equation in the case when the velocity of the traveling wave solution depends on the space variable and converges to…