A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients

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On the Numerical Integration of Scalar Nonlocal Conservation Laws (2015, background): “Introduction Conservation laws with nonlocal fluxes have appeared recently in the literature, arising naturally in many fields of application, such as in crowd dynamics (see [6–8, 22] and the references therein), in models inspired from biology, see [5, 12, 13, 15] and, more recently, also in an ind”
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].”
Structured Populations, Cell Growth and Measure Valued Balance Laws (2012, methodology): “A slightly different treatment of the problem, based on the theory of nonlinear semigroups in metric spaces, was presented in [16, 17].”
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].”