BOUNDARY EXACT CONTROLLABILITY OF TRANSMI SSION PROBLEMS WITH SINGULARITIES

Authors
NICAISE S
Citation
S. Nicaise, BOUNDARY EXACT CONTROLLABILITY OF TRANSMI SSION PROBLEMS WITH SINGULARITIES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(6), 1995, pp. 663-668
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
6
Year of publication
1995
Pages
663 - 668
Database
ISI
SICI code
0764-4442(1995)320:6<663:BECOTS>2.0.ZU;2-9
Abstract
We prove the exact controllability by boundary action of hyperbolic tr ansmission problems with singularities. The idea is to replace the cla ssical space of controls by the space of their regular parts, which is augmented with the coefficients of singularities. This lends to a cla ssical boundary control but with an internal control, which is a distr ibution with a support equal to the singular vertices.