Decay estimates for hyperbolic systems

Vladimir Georgiev; Sandra Lucente; Guido Ziliotti

doi:10.14492/hokmj/1285766006

Decay estimates for hyperbolic systems

Vladimir Georgiev^*, Sandra Lucente, Guido Ziliotti

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Pages (from-to)	83-113
Number of pages	31
Journal	Hokkaido Mathematical Journal
Volume	33
Issue number	1
DOIs	https://doi.org/10.14492/hokmj/1285766006
Publication status	Published - 2004
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

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10.14492/hokmj/1285766006

Cite this

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title = "Decay estimates for hyperbolic systems",

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.",

keywords = "A priori estimates for wave type equations, First order hyperbolic systems, Generalized Sobolev spaces",

author = "Vladimir Georgiev and Sandra Lucente and Guido Ziliotti",

year = "2004",

doi = "10.14492/hokmj/1285766006",

language = "English",

volume = "33",

pages = "83--113",

journal = "Hokkaido Mathematical Journal",

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publisher = "Department of Mathematics, Hokkaido University",

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TY - JOUR

T1 - Decay estimates for hyperbolic systems

AU - Georgiev, Vladimir

AU - Lucente, Sandra

AU - Ziliotti, Guido

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - A priori estimates for wave type equations

KW - First order hyperbolic systems

KW - Generalized Sobolev spaces

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U2 - 10.14492/hokmj/1285766006

DO - 10.14492/hokmj/1285766006

M3 - Article

AN - SCOPUS:42949123761

SN - 0385-4035

VL - 33

SP - 83

EP - 113

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 1

ER -

Decay estimates for hyperbolic systems

Abstract

Keywords

ASJC Scopus subject areas

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