subject to Cauchy
data on
, or on part of
. Tools from the theory of
optimal control are used. We use in particular the HUM theory, introduced in
J. L. Lions (1986, 1988) for the problem of exact controllability.
Full paper in PDF:
$% J. L. Lions, Problèmes aux limites non classiques pour équations d’évolution,
Rev. Mat. Complut. 1 (1988), no. 1, 2, 3, 157–167.%$
Problèmes aux limites non classiques pour équations d’évolution
We study the wave equation in a bounded domain
subject to Cauchy
data on
, or on part of
. Tools from the theory of
optimal control are used. We use in particular the HUM theory, introduced in
J. L. Lions (1986, 1988) for the problem of exact controllability.
1980 Mathematics Subject Classification (1985 revision): 49B22, 35R25, 49E30, 35L20.