Optimal Blowup Rates for the Minimal Energy Null Control for the Structurally Damped Abstract Wave Equation
نویسندگان
چکیده
The null controllability problem for a structurally damped abstract wave equation–a socalled elastic model–is considered with a view towards obtain optimal rates of blowup for the associated minimal energy function Emin(T ), as terminal time T ↓ 0. Key use is made of the underlying analyticity of the elastic generator A, as well as of the explicit characterization of its domain of definition. We ultimately find that the blowup rate for Emin(T ), as T goes to zero, depends on the extent of structural damping.
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