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Boundary exact controllability of interface problems with singularities. I: Addition of the coefficients of singularities. (English) Zbl 0858.93012

Author’s abstract: We prove the exact controllability by boundary action of hyperbolic interface problems with singularities. The idea is to replace the classical space of controls with the space of their regular parts, which is augmented with the coefficients of singularities. This leads to a classical boundary control but with an internal control, which is a distribution with a support equal to the singular vertices.
Reviewer: O.Cârjá (Iaşi)

MSC:

93B05 Controllability
93C20 Control/observation systems governed by partial differential equations
35L67 Shocks and singularities for hyperbolic equations
35B37 PDE in connection with control problems (MSC2000)
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