Exponential stabilization without geometric control
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🧮 math.AP
math-phmath.DSmath.MP
keywords
controlexponentialgeometricstabilizationargumentcompactconditiondamped
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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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