B. Barrios

activity

20102022

most citedA Widder's type Theorem for the heat equation with nonlocal diffusion

61 citations · 86 across the 13 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.AP2016

Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions

Begoña Barrios, María Medina

We present some comparison results for solutions to certain non local elliptic and parabolic problems that involve the fractional Laplacian operator and mixed boundary conditions,…

math.AP2016★ 9 cited

Monotonicity of solutions for some nonlocal elliptic problems in half-spaces

B. Barrios, L. Del Pezzo, J. Garcia-Melian +1

In this paper we consider classical solutions $u$ of the semilinear fractional problem $(- Δ)^{s} u = f (u)$ in $R_{+}^{N}$ with $u = 0$ in $R^{N} ∖ R_{+}^{N}$ ,…

math.AP2016

Free boundary regularity in the parabolic fractional obstacle problem

Begoña Barrios, Alessio Figalli, Xavier Ros-Oton

The parabolic obstacle problem for the fractional Laplacian naturally arises in American option models when the assets prices are driven by pure jump Lévy processes. In this paper…