Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed

Details Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed

2009-02-15

arxiv.org/abs/0902.2568v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

The general theory on exact boundary controllability for general first order quasilinear hyperbolic systems requires that the characteristic speeds of system do not vanish. This paper deals with exact boundary controllability, when this is not the case. Some important models are also shown as applications of the main result. The strategy uses the return method, which allows in certain situations to recover non zero characteristic speeds.

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