Non-Trapping Conditions and Local Energy Decay for Hyperbolic Problems

Pauen, Raimund

Non-Trapping Conditions and Local Energy Decay for Hyperbolic Problems

Dateien

preprint_132.pdfGröße: 1.81 MBDownloads: 300

Datum

2000

Autor:innen

Pauen, Raimund

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

Uniform local energy decay for solutions of hyperbolic problems in exterior domains is only possible under certain assumptions on the obstacle and the medium. The most general of these assumptions are the so-called "non-trapping conditions" and the literature provides several of them. We compare these conditions and give some geometric interpretation, dealing with boundary value problems for the wave equation and the equations of isotropic elasticity in both homogeneous and inhomogeneous media. In establishing our results we prove in addition the existence and uniqueness of the Green's function (Green's matrix) of the above problems.

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

PAUEN, Raimund, 2000. Non-Trapping Conditions and Local Energy Decay for Hyperbolic Problems

BibTex

@unpublished{Pauen2000NonTr-6079,
  year={2000},
  title={Non-Trapping Conditions and Local Energy Decay for Hyperbolic Problems},
  author={Pauen, Raimund}
}

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