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Hyperbolic Problems: Theory, Numerics, Applications pp 435–444Cite as

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Stability for Temple Class Systems with L∞ Boundary Data

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Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 140))

Abstract

We construct a continuous semigroup of solutions to the initial-boundary value problem for Temple class systems, on a domain of L∞ functions. Trajectories of the semigroup depend L1Lipschitz continuously on the initial and boundary data. We apply the result to the study of topological properties of sets of attainable profiles.

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Author information

Authors and Affiliations

  1. Centre de Mathématiques Appliquées& CNRS, U.M.R. 7641, Ecole Polytechnique, Palaiseau Cedex, 91128, France

    Paola Goatin

Authors
  1. Paola Goatin
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Editor information

Editors and Affiliations

  1. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22-26, Leipzig, 04103, Germany

    Heinrich Freistühler

  2. Otto-von-Guericke-University, Institute of Analysis and Numerical Mathematics, PSF 4120, Magdeburg, 39106, Germany

    Gerald Warnecke

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© 2001 Springer Basel AG

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Goatin, P. (2001). Stability for Temple Class Systems with L∞ Boundary Data. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_46

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  • DOI: https://doi.org/10.1007/978-3-0348-8370-2_46

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9537-8

  • Online ISBN: 978-3-0348-8370-2

  • eBook Packages: Springer Book Archive

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