Differential and Integral Equations

Asymptotic behaviour for symmetric hyperbolic dissipative systems

Barbara Lazzari and Elena Vuk

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Abstract

In this paper we study the existence, uniqueness and asymptotic behaviour of the solution for a class of first-order symmetric hyperbolic systems introduced by Friedrichs [(6)], in a bounded domain with an energy-absorbing boundary. It is carried out using the Fourier transform method. An energy decay rate result is obtained.

Article information

Source
Differential Integral Equations, Volume 10, Number 2 (1997), 273-287.

Dates
First available in Project Euclid: 2 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367526338

Mathematical Reviews number (MathSciNet)
MR1424812

Zentralblatt MATH identifier
0890.35080

Subjects
Primary: 35L45: Initial value problems for first-order hyperbolic systems
Secondary: 35B40: Asymptotic behavior of solutions 35Q60: PDEs in connection with optics and electromagnetic theory 73D99

Citation

Lazzari, Barbara; Vuk, Elena. Asymptotic behaviour for symmetric hyperbolic dissipative systems. Differential Integral Equations 10 (1997), no. 2, 273--287. https://projecteuclid.org/euclid.die/1367526338


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