IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
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: 2012
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 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.
