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Journal of Convex Analysis 10 (2003), No. 2, 365--378
Copyright Heldermann Verlag 2003
Existence in Optimal Control with State Equation in Divergence Form
via Variational Principles
José Carlos Bellido
ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Cuidad Real, Spain
Pablo Pedregal
ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Cuidad Real, Spain
We explore several relevant issues concerned with some typical
two-dimensional optimal design problems by using a purely variational
format. Specifically, we investigate situations of existence of optimal
solutions and relaxation in terms of quasiconvexifications and Young
measures.
Keywords: Variational framework, existence-nonexistence of optimal solutions, relaxation,
Young measures.
MSC 1991: 49J15, 49J45, 74P10.
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