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• W1974006181 abstract "In this paper, we obtain a global exact controllability result for a class of multidimensional semilinear hyperbolic equations with a superlinear nonlinearity and variable coefficients. For this purpose, we establish an observability estimate for the linear hyperbolic equation with an unbounded potential, in which the crucial observability constant is estimated explicitly by a function of the norm of the potential. Such an estimate is obtained by a combination of a pointwise estimate and a global Carleman estimate for the hyperbolic differential operators and analysis on the regularity of the optimal solution to an auxiliary optimal control problem." @default.
• W1974006181 created "2016-06-24" @default.
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• W1974006181 date "2007-01-01" @default.
• W1974006181 modified "2023-10-16" @default.
• W1974006181 title "Exact Controllability for Multidimensional Semilinear Hyperbolic Equations" @default.
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• W1974006181 doi "https://doi.org/10.1137/040610222" @default.
• W1974006181 hasPublicationYear "2007" @default.
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