Fixed point and best proximity theorems under two classes of integral-type contractive conditions in uniform metric spaces.
De La Sen, M. (2010)
Fixed Point Theory and Applications [electronic only]
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De La Sen, M. (2010)
Fixed Point Theory and Applications [electronic only]
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Anna Doubova, A. Osses, J.-P. Puel (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that the system can be viewed as a single equation with discontinuous coefficients in the principal part. Exact controllability to the trajectories is proved when we consider distributed controls supported in the part of the domain where...