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Local C1 solutions to some non‐linear PDE system

Authors:	Emanuele Callegari Marina Ghisi

Abstract:	We prove that the quasilinear initial value problem (1) has a unique, local in time, C¹ solution, if the matrices A_i are diagonalizable and commute with each other. Copyright © 2006 John Wiley & Sons, Ltd.

Keywords:	hyperbolic systems non‐linear PDE systems local C1 solutions