Decay estimates for hyperbolic systems

Vladimir Georgiev*, Sandra Lucente, Guido Ziliotti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In this work we study the Sobolev spaces generated by pseudo-differential operators associated with the group of symmetry of general first order hyperbolic systems. In these spaces we establish pointwise estimates of the solutions of a class of first order systems having convex eigenvalues. Various physical models belong to this class. For example, we consider crystal optics systems and anisotropic elasticity equations.

Original languageEnglish
Pages (from-to)83-113
Number of pages31
JournalHokkaido Mathematical Journal
Issue number1
Publication statusPublished - 2004
Externally publishedYes


  • A priori estimates for wave type equations
  • First order hyperbolic systems
  • Generalized Sobolev spaces

ASJC Scopus subject areas

  • Mathematics(all)


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