Nonlinear group representations and applications to nonlinear equations

  • Jacques C.H. Simon
Group theory Parallel Session
Part of the Lecture Notes in Physics book series (LNP, volume 153)


The group of time evolution of relativistic wave equations is contained in nonlinear representations of the Poincaré group. A general exposition of non linear representations of Lie groups is surveyed in order to exhibit the principal tools concerning the qualitative aspects of the theory. Examples of applications to nonlinear wave equations, such as the existence of global solutions, are then exposed. The main examples are nonlinear relativistic equations and Korteweg-de Vries equation.


Wave Equation Linear Representation Unitary Representation Nonlinear Representation Nonlinear Wave Equation 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Jacques C.H. Simon
    • 1
  1. 1.Physique-Mathématique Faculté des Sciences-MirandeDIJON CedexFrance

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