INVESTIGADORES
SANCHEZ FERNANDEZ DE LA VEGA Constanza Mariel
artículos
Título:
Global controllability of 1D Schrödinger-Poisson equation.
Autor/es:
MARIANO DE LEO; DIEGO RIAL; CONSTANZA SÁNCHEZ FERNÁNDEZ DE LA VEGA
Revista:
REVISTA DE LA UNIóN MATEMáTICA ARGENTINA
Editorial:
UNION MATEMATICA ARGENTINA
Referencias:
Lugar: Bahia Blanca; Año: 2013 vol. 54 p. 43 - 54
ISSN:
0041-6932
Resumen:
This paper is concerned with both the local and global internal controllability of the 1D Schrödinger- Poisson equation i u_t(x; 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.
