Error bounds for solutions of systems of quasilinear hyperbolic partial differential equations in bicharacteristic form

Abstract

The purpose of this paper is to obtain a theoretical estimate of the effect of a nonlinear perturbation on the solution of a boundary value problem for quasilinear hyperbolic systems in bicharacteristic canonic form with the same boundary data which L. Cesari introduced in [9], [10]. The estimate is given by the difference between the solutions of the linear and the perturbated systems.