STRUCTURED POPULATION EQUATIONS IN METRIC SPACES

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Structured Populations, Cell Growth and Measure Valued Balance Laws (2012, unknown): “∂tµ+ ∂x ( b(t, µ)µ ) + c(t, µ)µ = ∫ R+ ( η(t, µ) ) (y) dµ (y) µ(0) = µo with t∈ [0, T ] x∈R+ µ∈M+(R+) (1.1) where µ(t) is the measure determining the distribution of the population with respect to the structural variable x.”
Generalized Wasserstein Distance and its Application to Transport Equations with Source (2012, background): “Other examples in one dimension for structured populations are given in [4,10,11].”
A new optimal transport distance on the space of finite Radon measures (2015, unknown): “We also refer the reader to [11, 22, 27, 28, 29, 42] and references therein for applications of metric structures in spaces of measures (and, in particular, of the boundedLipschitz distance), e.”
Measure Solutions for Some Models in Population Dynamics (2011, background): “The well-posedness of measure solutions to some equations of the form (1) has recently been analysed by different although related techniques in [18, 17].”