55 citations · 77 across the 5 of their papers we have counts for
5 papers
Duality for the left and right fractional derivatives
M. Cristina Caputo, Delfim F. M. Torres
We prove duality between the left and right fractional derivatives, independently on the type of fractional operator. Main result asserts that the right derivative of a function is…
Regularity for non-local almost minimal boundaries and applications
M. Cristina Caputo, Nestor Guillen
We introduce a notion of non-local almost minimal boundaries similar to that introduced by Almgren in geometric measure theory. Extending methods developed recently for non-local m…
On the evolution of convex hypersurfaces by the flow
M. Cristina Caputo, Panagiota Daskalopoulos, Natasa Sesum
We prove the existence and uniqueness of a solution of the flow in the viscosity sense for compact convex hypersurfaces embedded in () . I…
Global regularity of solutions to systems of reaction-diffusion with Sub-Quadratic Growth in any dimension
M. Cristina Caputo, Alexis Vasseur
This paper is devoted to the study of the regularity of solutions to some systems of reaction--diffusion equations, with reaction terms having a subquadratic growth. We show the gl…
Highly Degenerate Harmonic Mean Curvature Flow
M. Cristina Caputo, Panagiota Daskalopoulos
We study the evolution of a weakly convex surface in with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal…