Estimating the division rate and kernel in the fragmentation equation

DOI10.1016/j.anihpc.2018.03.004zbMath1406.35427arXiv1804.08945OpenAlexW2610609960WikidataQ59241106 ScholiaQ59241106MaRDI QIDQ1618257

Miguel Escobedo, Marie Doumic, Magali Tournus

Publication date: 13 November 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08945

zbMATH Keywords

Mellin transforminverse problemfragmentation equationidentification of parameters

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Inverse problems for integral equations (45Q05) Integro-partial differential equations (35R09) PDEs with measure (35R06)

Related Items

Recovering the fragmentation rate in the growth-fragmentation equation, Central limit theorem for kernel estimator of invariant density in bifurcating Markov chains models, Probabilistic representations of fragmentation equations, Estimating the division rate from indirect measurements of single cells, Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation, Central limit theorem for bifurcating Markov chains under pointwise ergodic conditions

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