Lack of uniqueness in transport equations with a nonlocal nonlinearity

Odo Diekmann, Mats Gyllenberg, Horst Thieme

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

By way of examples we show that the initial value problem for transport equations, with coefficients that involve a nonlocal (in space) functional of the solution, may have multiple solutions. We try to expose the essential features of the examples, thus motivating certain assumptions in the theory of physiologically structured population models.

Original languageEnglish (US)
Pages (from-to)581-591
Number of pages11
JournalMathematical Models and Methods in Applied Sciences
Volume10
Issue number4
DOIs
StatePublished - Jun 2000

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

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