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Structured populations, cell growth and measure valued balance laws

机译:结构化种群,细胞生长和衡量有价值的平衡定律

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摘要

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.
机译:提出了平衡法的度量值解的适定性理论。非线性半群是通过算子拆分算法构建的。这种方法可以将微分项与积分项分开,从而大大简化了证明。还显示了对参数的连续依赖性。整个框架允许采用统一的方法来处理各种结构化的人口模型,并为每个模型提供基本的合理性和稳定性结果。

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