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Exact boundary controllability in problems of transmission for the system of electromagneto‐elasticity
Author(s) -
Kapitonov Boris V.,
Raupp Marco Antonio
Publication year - 2001
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.205
Subject(s) - controllability , mathematics , piecewise , elasticity (physics) , bounded function , mathematical analysis , monotonic function , discontinuity (linguistics) , boundary (topology) , boundary value problem , jump , materials science , physics , quantum mechanics , composite material
This paper considers transmission problem for the system of electromagneto‐elasticity having piecewise constant coefficients in a bounded domain. The result on exact boundary controllability is obtained provided the interfaces, where the coefficients have a jump discontinuity, are all star‐shaped with respect to one and the same point and the coefficients satisfy a certain monotonicity conditions. Copyright © 2001 John Wiley & Sons, Ltd.