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Carleman estimates and exact boundary controllabilty for a system of coupled non-conservative Schödinger Equations
Triggiani, Roberto
1996
Abstract
We consider a system of 2 (or more) coupled Schródinger equations in the difficult situation where the equations have first-order, lower-order terms, as well as first-order coupling in all space variables. By using a general differential multiplier we give a `friendly’ proof of earleman estimates. Under more restrictive intrinsic conditions mostly on the coupling operators, we obtain eaact controllability results for the coupled system, under various combinations of boundary controls: Dirichlet/Dirichlet; Dirichlet/Neumann; Neumann/Neumann. The controls are active on a suitable portion of the boundary. These results cannot be obtained by standard multipliers.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
28 (1996) s.
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Roberto Triggiani, "Carleman estimates and exact boundary controllabilty for a system of coupled non-conservative Schödinger Equations", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 28 (1996) suppl., pp. 453-504.
Languages
en
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