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$%M. Milla Miranda, Exact controllability for the wave equation in domains with variable boundary, Rev. Mat. Univ. Complut. Madrid 9 (1996), no. 2, 435–457.%$

Exact Controllability for the Wave Equation in Domains with Variable Boundary
Manuel MILLA MIRANDA
Instituto de Matemática, GAN, UFF
Rua São Paulo, s/n
24040-110 Niterói, RJ — Brazil

Received: September 26, 1995
Revised: December 21, 1995
ABSTRACT

This paper is concerned with the problem of exact boundary controllability for the equation:

u''- Du = 0 inQ^

where Q^ is non cylindrical domain of n+1 R . The result is obtained by transforming the problem in ^ Q in a problem defined in a cylindrical domain Q and the showing that these two problems are equivalent. The result in Q we studied by the author in an earlier paper applying the HUM of J. L. Lions.

1991 Mathematics Subject Classification: 93B05, 93C20.