Exact Controllability for Nonautonomous First Order Quasilinear Hyperbolic Systems*

Abstract

By means of the theory on the semi-global C ¹ solution to the mixed initial-boundary value problem (IBVP) for first order quasilinear hyperbolic systems, we establish the exact controllability for general nonautonomous first order quasilinear hyperbolic systems with general nonlinear boundary conditions.

Keywords

Nonautonomous quasilinear hyperbolic system / Mixed initial-boundary value problem / Semi-global C ¹ solution / Exact controllability / 35L50 / 37B55 / 49J20 / 93B05

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