Wei-Jiu Liu & Graham H. Williams
Abstract:
The problem of partial exact controllability for linear
thermo-viscoelasticity is considered. Using classical multiplier
techniques, a boundary observability inequality is established
under smallness restrictions on coupling parameters and relaxation
functions. Then, via the Hilbert Uniqueness method, the result of
partial exact controllability is obtained with Dirichlet boundary
controls acting on a part of the boundary of a domain.
Submitted January 27, 1998. Published June 20, 1998.
Math Subject Classification: 93B05, 35B37, 73F15.
Key Words: Controllability, thermo-viscoelasticity, Hilbert Uniqueness method.
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Wei-Jiu Liu Department of Applied Mechanics and Engineering Sciences University of California San Diego 9500 Gilman Drive, La Jolla, CA 92093-0411. USA e-mail: weijiu_liu@uow.edu.au
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Graham H. Williams School of Mathematics and Applied Statistics University of Wollongong Northfields Avenue, Wollongong NSW 2522, Australia e-mail: ghw@uow.edu.au |
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