Christian Dull, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski

Spaces of Measures and their Applications to Structured Population Models (eBook, PDF)

• Format: PDF

Produktbeschreibung

Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 7. Oktober 2021
• Englisch
• ISBN-13: 9781009020473
• Artikelnr.: 70909386

Autorenporträt

Christian Düll is a member of the research team of Anna Marciniak-Czochra at Heidelberg University. He works with structured population models in a measure setting and optimal transport problems.

Inhaltsangabe

Notation
Introduction
1. Analytical setting
2. Structured population models on state space R+
3. Structured population models on proper spaces
4. Numerical methods for structured population models
5. Recent developments and future perspectives
Appendix A. Topology, compactness and proper spaces
Appendix B. Functional analysis
Appendix C. Bounded Lipschitz and Hölder functions
Appendix D. Results on approximation with polynomials
Appendix E. Differential geometry
Appendix F. Measure theory
Appendix G. Weaker topologies on spaces of measures
Appendix H. The Bochner integral
Appendix I. Semigroups
Appendix J. Supplement to Chapter 2
Appendix K. Technical proofs from Chapter 3
References
Index.