16 citations · 40 across the 9 of their papers we have counts for
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math.AP2017
Null controllability of linear and semilinear nonlocal heat equations with integral kernel
Umberto Biccari, Víctor Hernández-Santamaría
We consider a linear nonlocal heat equation in a bounded domain with Dirichlet boundary conditions. The non-locality is given by the presence of an integral…
math.AP2017
A Finite Element approximation of the one-dimensional fractional Poisson equation with applications to numerical control
Umberto Biccari, Víctor Hernández-Santamaría
We present a finite element (FE) scheme for the numerical approximation of the solution to a non-local Poisson equation involving the one-dimensional fractional Laplacian $(-d_x^2)…