On linear hyperbolic systems with multiple characteristics

Matthias Georg Hieber; J. A. Goldstein

On linear hyperbolic systems with multiple characteristics

Matthias Georg Hieber^*, J. A. Goldstein

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

In this paper, the L^p behavior of systems of linear, hyperbolic partial differential equations is examined by means of the theory of integrated semigroups. We show in particular how the degree of integration and therefore the regularity of the solution depends on the multiplicity of the eigenvalues of the symbol.

Original language	English
Pages (from-to)	877-886
Number of pages	10
Journal	Differential and Integral Equations
Volume	8
Issue number	4
Publication status	Published - 1995
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "On linear hyperbolic systems with multiple characteristics",

abstract = "In this paper, the Lp behavior of systems of linear, hyperbolic partial differential equations is examined by means of the theory of integrated semigroups. We show in particular how the degree of integration and therefore the regularity of the solution depends on the multiplicity of the eigenvalues of the symbol.",

author = "Hieber, {Matthias Georg} and Goldstein, {J. A.}",

year = "1995",

language = "English",

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pages = "877--886",

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issn = "0893-4983",

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T1 - On linear hyperbolic systems with multiple characteristics

AU - Hieber, Matthias Georg

AU - Goldstein, J. A.

PY - 1995

Y1 - 1995

N2 - In this paper, the Lp behavior of systems of linear, hyperbolic partial differential equations is examined by means of the theory of integrated semigroups. We show in particular how the degree of integration and therefore the regularity of the solution depends on the multiplicity of the eigenvalues of the symbol.

AB - In this paper, the Lp behavior of systems of linear, hyperbolic partial differential equations is examined by means of the theory of integrated semigroups. We show in particular how the degree of integration and therefore the regularity of the solution depends on the multiplicity of the eigenvalues of the symbol.

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M3 - Article

AN - SCOPUS:84972507814

SN - 0893-4983

VL - 8

SP - 877

EP - 886

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 4

ER -

On linear hyperbolic systems with multiple characteristics

Abstract

ASJC Scopus subject areas

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