Exact controllability is established for N-dimensional hyperbolic PDEs with a single interior degenerate point by deriving an observability inequality from a specially constructed Carleman estimate whose weight function cancels the degeneracy effect.
Zuazua,Exact controllability and stabilization of the wave equation, Springer, Cham, 2024
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On Controllability of a Class of N -dimensional Hyperbolic Equations with Internal Single-point Degeneracy
Exact controllability is established for N-dimensional hyperbolic PDEs with a single interior degenerate point by deriving an observability inequality from a specially constructed Carleman estimate whose weight function cancels the degeneracy effect.