Nonlinear First Order Equations

  • Serge AlinhacEmail author
Part of the Universitext book series (UTX)

We consider in \({\rm R}_x^n \) the Cauchy problem with data u 0 given on the initial surface Σ0 = { x n = 0 } for the quasilinear scalar equation The coefficients a = (a 1,…,a n ) and b are given real C functions on \({\rm R}_x^n \times {\rm R}_t \),and u 0 : R n−1 → R is a given C 1 function. We look for a C 1 real solution.


Cauchy Problem Real Function Smooth Solution Order Equation Real Solution 
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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Le Département de MathématiquesUniversité Paris-Sud XIOrsayFrance

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