Ioan Bejenaru, Jesus Ildefonso Diaz, & Ioan I. Vrabie
Abstract:
In this paper we prove an approximate controllability result for
an abstract semilinear evolution equation in a Hilbert space and we obtain
as consequences the approximate controllability for some classes of elliptic
and parabolic problems subjected to nonlinear, possible non monotone, dynamic
boundary conditions.
Submitted April 23, 2001. Published July 11, 2001.
Math Subject Classifications: 93B05, 93C20, 93325, 35B37.
Key Words: approximate controllability, evolution equation, parabolic problem,
elliptic problem, dynamic boundary conditions
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Ioan Bejenaru Department of Mathematics Northwestern University Evanston, IL 60208-2730, USA e-mail: bejenaru@math.nwu.edu |
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Jesus Ildefonso Diaz Matematica Aplicada Universidad Complutense 28040 Madrid, Spain e-mail: jidiaz@ucm.es |
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Ioan I. Vrabie Faculty of Mathematics Al. I. Cuza University Iasi 6600, Romania Current address: P. O. Box 180, Ro, Is 1 Iasi 6600, Romania e-mail: ivrabie@uaic.ro |
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