We consider both the Cauchy problem and the boundary value problem studied by Cesari [L. Cesari, Riv. Mat. Univ. Parma (3) 3 (1974), 107-131] for canonic system in diagonal form. We give a theoretical estimate of the effect of the nonlinear perturbation on the solution, that is, we establish a theoretical estimate of the difference between the solution of the nonlinear problem and the solution of the linear one.

Error bounds for solutions of systems of quasi linear hyperbolic partial differential equations in diagonal form

CEPPITELLI, Rita;
1990

Abstract

We consider both the Cauchy problem and the boundary value problem studied by Cesari [L. Cesari, Riv. Mat. Univ. Parma (3) 3 (1974), 107-131] for canonic system in diagonal form. We give a theoretical estimate of the effect of the nonlinear perturbation on the solution, that is, we establish a theoretical estimate of the difference between the solution of the nonlinear problem and the solution of the linear one.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/920641
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