Decay estimates for hyperbolic systems

Vladimir Simeonov Gueorguiev, Sandra Lucente, Guido Ziliotti

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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
Volume33
Issue number1
DOIs
Publication statusPublished - 2004 Jan 1
Externally publishedYes

Fingerprint

Decay Estimates
First-order System
Hyperbolic Systems
Anisotropic Elasticity
Pointwise Estimates
Pseudodifferential Operators
Physical Model
Sobolev Spaces
Optics
Crystal
Eigenvalue
Symmetry
Class

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Decay estimates for hyperbolic systems. / Gueorguiev, Vladimir Simeonov; Lucente, Sandra; Ziliotti, Guido.

In: Hokkaido Mathematical Journal, Vol. 33, No. 1, 01.01.2004, p. 83-113.

Research output: Contribution to journalArticle

Gueorguiev, Vladimir Simeonov ; Lucente, Sandra ; Ziliotti, Guido. / Decay estimates for hyperbolic systems. In: Hokkaido Mathematical Journal. 2004 ; Vol. 33, No. 1. pp. 83-113.
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