Exact controllability of the wave equation with mixed boundary condition and time-dependent coefficients
Cavalcanti, M. M.
Archivum Mathematicum, Tome 035 (1999), p. 29-57 / Harvested from Czech Digital Mathematics Library
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In this paper we study the boundary exact controllability for the equation \[ \frac{\partial }{\partial t}\left(\alpha (t){{\partial y}\over { \partial t}}\right)-\sum _{j=1}^n{{\partial }\over {\partial x_j}}\left(\beta (t)a(x){{\partial y}\over {\partial x_j}}\right)=0\;\;\;\hbox{in}\;\; \Omega \times (0,T)\,, \] when the control action is of Dirichlet-Neumann form and $\Omega $ is a bounded domain in ${R}^n$. The result is obtained by applying the HUM (Hilbert Uniqueness Method) due to J. L. Lions.

Publié le : 1999-01-01
Classification:  35B35,  35B40,  35L05,  35L99,  93B05,  93C20 
@article{107683,
     author = {M. M. Cavalcanti},
     title = {Exact controllability of the wave equation with mixed boundary condition and time-dependent coefficients},
     journal = {Archivum Mathematicum},
     volume = {035},
     year = {1999},
     pages = {29-57},
     zbl = {1046.35013},
     mrnumber = {1684521},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107683}
}

Cavalcanti, M. M. Exact controllability of the wave equation with mixed boundary condition and time-dependent coefficients. Archivum Mathematicum, Tome 035 (1999) pp. 29-57. http://gdmltest.u-ga.fr/item/107683/

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