Structured populations, cell growth and measure valued balance laws

J. A. Carrillo; R. M. Colombo; P. Gwiazda; A. Ulikowska

doi:10.1016/j.jde.2011.11.003

Structured populations, cell growth and measure valued balance laws

J. A. Carrillo, R. M. Colombo, P. Gwiazda, A. Ulikowska

Departament de Matemàtiques

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Resum

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. © 2011 Elsevier Inc.

Idioma original	Anglès
Pàgines (de-a)	3245-3277
Revista	Journal of Differential Equations
Volum	252
Número	4
DOIs	https://doi.org/10.1016/j.jde.2011.11.003
Estat de la publicació	Publicada - 15 de febr. 2012

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10.1016/j.jde.2011.11.003

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https://www.scopus.com/pages/publications/84455169463

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title = "Structured populations, cell growth and measure valued balance laws",

abstract = "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. {\textcopyright} 2011 Elsevier Inc.",

author = "Carrillo, \{J. A.\} and Colombo, \{R. M.\} and P. Gwiazda and A. Ulikowska",

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journal = "Journal of Differential Equations",

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T1 - Structured populations, cell growth and measure valued balance laws

AU - Carrillo, J. A.

AU - Colombo, R. M.

AU - Gwiazda, P.

AU - Ulikowska, A.

PY - 2012/2/15

Y1 - 2012/2/15

N2 - 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. © 2011 Elsevier Inc.

AB - 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. © 2011 Elsevier Inc.

UR - https://www.scopus.com/pages/publications/84455169463

U2 - 10.1016/j.jde.2011.11.003

DO - 10.1016/j.jde.2011.11.003

M3 - Article

SN - 0022-0396

VL - 252

SP - 3245

EP - 3277

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 4

ER -

Structured populations, cell growth and measure valued balance laws

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