13 citations · 30 across the 19 of their papers we have counts for
4 papers · 1 filter
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
Yannick Privat, Emmanuel Trélat, Enrique Zuazua
We consider a spectral optimal design problem involving the Neumann traces of the Dirichlet-Laplacian eigenfunctions on a smooth bounded open subset of . The cost functio…
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-…
Phase portrait control for 1D monostable and bistable reaction-diffusion equations
Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
We consider the problem of controlling parabolic semilinear equations arising in population dynamics, either in finite time or infinite time. These are the monostable and bistable…
Controllability under positivity constraints of multi-d wave equations
Dario Pighin, Enrique Zuazua
We consider both the internal and boundary controllability problems for wave equations under non-negativity constraints on the controls. First, we prove the steady state controllab…