51 citations · 416 across the 43 of their papers we have counts for
5 papers · 1 filter
Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux I
G. Alberti, S. Bianchini, L. Caravenna
We discuss different notions of continuous solutions to the balance law \[u_t + (f(u ))_x =g \] with bounded, , extending previous works relative to the flux $f(u)=…
Continuous and discrete frames generated by the evolution flow of the Schrödinger equation
Giovanni S. Alberti, Stephan Dahlke, Filippo De Mari +2
We study a family of coherent states, called Schrödingerlets, both in the continuous and discrete setting. They are defined in terms of the Schrödinger equation of a free quantum p…
Absence of Critical Points of Solutions to the Helmholtz Equation in 3D
Giovanni S. Alberti
The focus of this paper is to show the absence of critical points for the solutions to the Helmholtz equation in a bounded domain , given by \[ \left\{ \beg…
Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging
Giovanni S. Alberti, Habib Ammari
The main focus of this work is the reconstruction of the signals and , , from the knowledge of their sums , under the assumption that and t…
On local non-zero constraints in PDE with analytic coefficients
Giovanni S. Alberti, Yves Capdeboscq
We consider the Helmholtz equation with real analytic coefficients on a bounded domain . We take prescribed boundary conditions and frequencie…