Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
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 …