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Linearized Stability and Regularity for Nonlinear Age-dependent Population Models

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Functional Analysis and Evolution Equations

Abstract

The paper is concerned with the general theory of nonlinear agedependent population dynamics. We present (a) a principle of linearized stability and (b) a result on regularity of solutions to the general nonlinear model.

To the memory of Günter Lumer

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Duisburg-Essen, D-45117, Essen, Germany

    Wolfgang M. Ruess

Authors
  1. Wolfgang M. Ruess
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057, Zürich, Switzerland

    Herbert Amann

  2. Abteilung Angewandte Analysis, Universität Ulm, 89069, Ulm, Germany

    Wolfgang Arendt

  3. Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, 64289, Darmstadt, Germany

    Matthias Hieber

  4. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    Frank M. Neubrander

  5. Université de Valenciennes et du Hainaut Cambrésis, Le Mont Houy, 59313, Valenciennes Cedex 9, France

    Serge Nicaise

  6. Laboratoire de Mathématiques Pures et Appliquées — LMPA “Joseph Liouville”, Université du Littoral-Côte d’Opale, 50, rue F. Buisson, 62228, Calais Cedex, France

    Joachim von Below

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Ruess, W.M. (2007). Linearized Stability and Regularity for Nonlinear Age-dependent Population Models. In: Amann, H., Arendt, W., Hieber, M., Neubrander, F.M., Nicaise, S., von Below, J. (eds) Functional Analysis and Evolution Equations. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7794-6_34

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