SEMI-GLOBAL C<sup>1</sup>SOLUTION TO THE MIXED INITIAL-BOUNDARY VALUE PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS

Tatsien Li, Yi Jin

Chinese Annals of Mathematics Series B · 2001 · 91 citations · 0 references

Abstract

By means of an equivalent invariant form of boundary conditions, the author get the existence and uniqueness of semi-global C1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems with general nonlinear boundary conditions.