Tang, Yuping et Zhang, Xu, A Note on the Singular Limit of the Exact Controllability of Dissipative Wave Equations, Acta mathematica Sinica. English series (Print) , 16(4), 2000, pp. 601-612
In this note we analyze the exact controllability of singularly perturbed damped wave equations under more general geometric control condition than that of [1]. We show that the null controllability of the heat equation can be obtained as a singular limit of the exact controllability of such sorts of wave equations.