Well-posedness and approximation of a measure-valued mass evolution problem with flux boundary conditions

DOI10.1016/j.crma.2013.11.012zbMath1292.47060OpenAlexW2004062096MaRDI QIDQ2438562

Adrian Muntean, Joep H. M. Evers, Sander Cornelis Hille

Publication date: 5 March 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/1a1725a1-070e-44d4-9fff-241f26031a29

zbMATH Keywords

flux boundary conditionsmeasure-valued mass evolution problem

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Nonlinear evolution equations (47J35)

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Cites Work

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• Structured populations, cell growth and measure valued balance laws
• Embedding of semigroups of Lipschitz maps into positive linear semigroups on ordered Banach spaces generated by measures
• Semigroups of linear operators and applications to partial differential equations
• Measure solutions for some models in population dynamics
• Measure-valued solutions for a hierarchically size-structured population

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