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The Wave Equation

  • Serge Alinhac
Chapter
Part of the Universitext book series (UTX)

In this chapter, we review quickly the main properties of the solutions of the wave equation in \({\rm R}_x^n \times {\rm R}_t \), concentrating on the cases n = 2 and n = 3. Since we promised not to use distribution theory, we will make no attempt to prove the solution formulas in the most general context. It is understood that the functions we manipulate are supposed to allow the formula to be defined in the classical sense.

Keywords

Wave Equation Cauchy Problem Light Cone Cauchy Data Spatial Rotation 
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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