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SEMI-GLOBAL $C^1$ SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS
Authors:LI Ta-tsien and JIN Yi
Institution:Department of Mathematics, Fudan University,
Abstract:By means of an equivalent invariant form of boundary conditions, the authors get the existence and uniqueness of semi-global C^1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems with general nonlinear boundary conditions.
Keywords:Semi-global C~1 solution  Mixed initial-boundary value problem  Quasilinear hyperbolic system  
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