16 citations · 33 across the 14 of their papers we have counts for
4 papers · 1 filter
WKB expansion for a fractional Schrödinger equation with applications to controllability
Umberto Biccari, Alejandro B. Aceves
This paper is devoted to the analysis of propagation properties for the solutions of a one-dimensional non-local Schrödinger equation involving the fractional Laplace operator $(-d…
Null-controllability properties of the wave equation with a second order memory term
Umberto Biccari, Sorin Micu
We study the internal controllability of a wave equation with memory in the principal part, defined on the one-dimensional torus . We assume tha…
Propagation of one and two-dimensional discrete waves under finite difference approximation
Umberto Biccari, Aurora Marica, Enrique Zuazua
We analyze the propagation properties of the numerical versions of one and two-dimensional wave equations, semi-discretized in space by finite difference schemes. We focus on high-…
The Poisson equation from non-local to local
Umberto Biccari, Víctor Hernández-Santamaría
We analyze the limit behavior as of the solution to the fractional Poisson equation , with homogeneous Dirichlet boundary conditions $u_s\equiv 0…