INVESTIGADORES
DE LEO Mariano Fernando
artículos
Título:
Global controllability of 1D Schroedinger-Poisson equation
Autor/es:
DE LEO, M.; SÁNCHEZ FERNÁNDEZ DE LA VEGA, C.; RIAL, D.
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:
Abstract. 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 pro le 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.
