10 citations · 26 across the 19 of their papers we have counts for
5 papers · 1 filter
Rates of Convergence in Periodic Homogenization of Nonlocal Hamilton-Jacobi-Bellman Equations
Andrei Rodríguez-Paredes, Erwin Topp
In this paper we provide a rate of convergence for periodic homogenization of Hamilton-Jacobi-Bellman equations with nonlocal diffusion. The result is based on the regularity of th…
The Nonlocal Inverse Problem of Donsker and Varadhan
Gonzalo Dávila, Erwin Topp
In this paper we prove a nonlocal version of the celebrated Inverse Problem of Donsker and Varadhan~\cite{DV} for nonlocal elliptic operators of the form $$ \cL u = L_K u + \cB_K (…
Fractional truncated Laplacians: representation formula, fundamental solutions and applications
Isabeau Birindelli, Giulio Galise, Erwin Topp
In this note we introduce some nonlinear extremal nonlocal operators that approximate the, so called, truncated Laplacians. For these operators we construct representation formulas…
Interior regularity results for fractional elliptic equations that degenerate with the gradient
Disson Dos Prazeres, Erwin Topp
In this paper we obtain interior regularity estimates for viscosity solutions of nonlocal Dirichlet problems that degenerate when the gradient of the solution vanishes. Interior Hö…
Periodic Homogenization for Weakly Elliptic Hamilton-Jacobi-Bellman Equations with Critical Fractional Diffusion
Adina Ciomaga, Daria Ghilli, Erwin Topp
In this paper we establish periodic homogenization for Hamilton-Jacobi-Bellman (HJB) equations, associated to nonlocal operators of integro-differential type. We consider the case…