3 papers
math.AP2020
Homogenization for nonlocal evolution problems with three different smooth kernels
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira +1
In this paper we consider the homogenization of the evolution problem associated with a jump process that involves three different smooth kernels that govern the jumps to/from diff…
math.AP2020
Homogenization for nonlocal problems with smooth kernels
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira +1
In this paper we consider the homogenization problem for a nonlocal equation that involve different smooth kernels. We assume that the spacial domain is divided into a sequence of…
math.PR2020
Mixing local and nonlocal evolution equations
Monia Capanna, Julio D. Rossi
In this paper we study the homogenization of a stochastic process and its associated evolution equations in which we mix a local part (given by a Brownian motion with a reflection…