The boundary controllability problems are studied. Firstly, a one dimensional x-space case is discussed, time t>0. The problem describes different physical phenomena in a composite solid made by different materials. These phenomena are governed by heat equation and Scroedinger equation, at same time t, in different regions. Interfaces conditions are assumed. Extensions to two dimensional (x,y)- space are also investigated.
On Some Boundary Control Problems / Arena, Orazio. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - ELETTRONICO. - 9:(2016), pp. 613-618. (Intervento presentato al convegno PDE's, Inverse Problems and Control Theory tenutosi a Bologna nel 14-19 settembre 2014) [10.3934/dcdss.2016015].
On Some Boundary Control Problems
ARENA, ORAZIO
2016
Abstract
The boundary controllability problems are studied. Firstly, a one dimensional x-space case is discussed, time t>0. The problem describes different physical phenomena in a composite solid made by different materials. These phenomena are governed by heat equation and Scroedinger equation, at same time t, in different regions. Interfaces conditions are assumed. Extensions to two dimensional (x,y)- space are also investigated.
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