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Nonlinear First Order Equations

  • Serge Alinhac
Chapter
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.

Keywords

Cauchy Problem Real Function Smooth Solution Order Equation Real Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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