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Journal of Mathematical Sciences

, Volume 151, Issue 1, pp 2689–2698 | Cite as

On the well-posedness of the mixed problem for hyperbolic operators with characteristics of variable multiplicity

  • P. A. Zakharchenko
  • . V. Radkevich
Article

Abstract

The paper is devoted to the study of the well-posedness of mixed problems for hyperbolic equations with constant coefficients and characteristics of variable multiplicity. The authors distinguish a class of higher-order hyperbolic operators with constant coefficients and characteristics of variable multiplicity for which a generalization of the Sakamoto L 2-well-posedness of the mixed problem is obtained.

Keywords

Cauchy Problem Poisson Bracket Dispersive Equation Hyperbolic Equation Collision Operator 
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 Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Moscow State UniversityRussia

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