Structured populations, cell growth and measure valued balance laws

J. A. Carrillo, R. M. Colombo, P. Gwiazda, A. Ulikowska

Research output: Contribution to journalArticleResearchpeer-review

39 Citations (Scopus)

Abstract

A well-posedness theory of measure valued solutions to balance laws is presented. Nonlinear semigroups are constructed by means of the operator splitting algorithm. This approach allows to separate the differential terms from the integral ones, leading to a significant simplification of the proofs. Continuous dependence with respect to parameters is also shown. The whole framework allows a unified approach to a variety of structured population models, providing to each of them the basic well posedness and stability results. © 2011 Elsevier Inc.
Original languageEnglish
Pages (from-to)3245-3277
JournalJournal of Differential Equations
Volume252
Issue number4
DOIs
Publication statusPublished - 15 Feb 2012

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