Artículos de revistas
Global controllability of 1D Schroedinger-Poisson equation
Fecha
2013-06Registro en:
de Leo, Mariano Fernando; Sanchez Fernandez de la Vega, Constanza Mariel; Rial, Diego Fernando; Global controllability of 1D Schroedinger-Poisson equation; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 54; 6-2013; 43-54
0041-6932
1669-9637
Autor
de Leo, Mariano Fernando
Sanchez Fernandez de la Vega, Constanza Mariel
Rial, Diego Fernando
Resumen
This paper is concerned with both the local and global internal controllability of the 1D Schroedinger-Poisson equation i u_t = -u_xx +V (u) u; which arises in quantum semiconductor models. Here V (u) is a Hartree-type nonlinearity stemming from the coupling with the 1D Poisson equation, which includes the so-called doping prole or impurities. More precisely, it is shown that for both attractive and repulsive self-consistent potentials -depending on the balance between the total charge and the impurities- this problem is globally internal controllable in a suitable Sobolev space.