4 papers
C^(sigma+alpha) regularity for fractional Hamilton-Jacobi equations, and rates of convergence in periodic homogenization
Adina Ciomaga, Andrei Rodriguez-Paredes, Erwin Topp
We study two related questions for nonlocal equations of Bellman type: the regularity of solutions when the set of controls depends on the state variable, and the periodic homogeni…
Periodic homogenization of the principal eigenvalue of second-order elliptic operators
Gonzalo Dávila, Andrei Rodríguez-Paredes, Erwin Topp
In this paper we investigate homogenization results for the principal eigenvalue problem associated to -homogeneous, uniformly elliptic, second-order operators. Under rather gen…
Large-time behavior of unbounded solutions of the viscous Hamilton-Jacobi equation: quadratic and subquadratic cases
Alexander Quaas, Andrei Rodríguez-Paredes
We determine the large-time behavior of unbounded solutions for the so-called viscous Hamilton Jacobi equation, , in the quadratic and subquadratic cases…
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…