Exponential stabilization without geometric control

Details Exponential stabilization without geometric control Exponential stabilization without geometric control

2010-11-08

arxiv.org/abs/1011.1699v1

Mathematics

Analysis of PDEs

Scientific paper

We present examples of exponential stabilization for the damped wave equation
on a compact manifold in situations where the geometric control condition is
not satisfied. This follows from a dynamical argument involving a topological
pressure on a suitable uncontrolled set.

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