5 papers · 1 filter
Parabolic--Elliptic Dynamics with Local--Nonlocal Coupled Operators
Luiza Camile Rosa da Silva, Julio Daniel Rossi
In this paper, we study two local--nonlocal settings for parabolic--elliptic evolution systems. In our problems we have a disjoint partition of the spacial domain as $Ω=A\cup B…
Periodic Homogenization of Local/Nonlocal Systems
Marcone C. Pereira, Luiza C. Rosa da Silva, Julio D. Rossi
In this paper, we study the homogenization of elliptic equations that combine a local part, given by the Laplacian with Neumann boundary conditions, and its nonlocal version, defin…
Fractional decay bounds for nonlocal zero order heat equations
Emmanuel Chasseigne, Patricio Felmer, J. Rossi +1
In this paper we obtain bounds for the decay rate for solutions to the nonlocal problem . Here we deal with bounded kern…
Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space
L. I. Ignat, J. D. Rossi, A. San Antolin
We find lower and upper bounds for the first eigenvalue of a nonlocal diffusion operator of the form $ T(u) = - \int_{\rr^d} K(x,y) (u(y)-u(x)) \, dy$. Here we consider a kernel $K…
A limiting free boundary problem ruled by Aronsson's equation
J. D. Rossi, E. V. Teixeira
We study the behavior of -Dirichlet optimal design problem with volume constraint for large. As the limit as goes to infinity, we find a limiting free boundary problem g…