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- W2111909924 abstract "We consider a class of quasilinear Cauchy problems which frequently arise in the context of structured population dynamics and which have in common that they can be reduced to a semilinear problem by a time-scale argument. We prove existence and uniqueness of solutions, study positivity and regularity properties, and prove the principle of linearized stability. These abstract results are applied to a model describing the dynamics of a size-structured cell population whose individuals are subject to a nonlinear growth law." @default.
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- W2111909924 date "1990-10-01" @default.
- W2111909924 modified "2023-09-23" @default.
- W2111909924 title "Cauchy problems with state-dependent time evolution" @default.
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- W2111909924 doi "https://doi.org/10.1007/bf03167853" @default.
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