The journal Rendiconti dell’Istituto di Matematica dell’università di Trieste publishes original articles in all areas of mathematics. Special regard is given to research papers, but attractive expository papers may also be considered for publication.
The journal usually appears in one issue per year. Additional issues may however be published. In particular, the Managing Editors may consider the publication of supplementary volumes related to some special events, like conferences, workshops, and advanced schools.
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(Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1996)
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.