Structured populations, cell growth and measure valued balance laws

• Verfasst von: Carrillo, José Antonio [VerfasserIn]
• Verfasst von: Colombo, Rinaldo M. [VerfasserIn]
• Verfasst von: Gwiazda, Piotr [VerfasserIn]
• Titel: Structured populations, cell growth and measure valued balance laws
• Verf.angabe: J.A. Carrillo, R.M. Colombo, P. Gwiazda, A. Ulikowska
• Umfang: 33 S.
• Fussnoten: Available online 21 November 2011 ; Gesehen am 16.08.2017
• Titel Quelle: Enthalten in: Journal of differential equations
• Jahr Quelle: 2012
• Band/Heft Quelle: 252(2012), 4, S. 3245-3277
• ISSN Quelle: 1090-2732
• DOI: doi:10.1016/j.jde.2011.11.003
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1562461028

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.