WELL-POSEDNESS OF A NONLINEAR MODEL OF PROLIFERATING CELL POPULATIONS WITH INHERITED CYCLE LENGTH

doi:10.1016/S0252-9602(16)30066-2

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1225-1244.doi: 10.1016/S0252-9602(16)30066-2

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WELL-POSEDNESS OF A NONLINEAR MODEL OF PROLIFERATING CELL POPULATIONS WITH INHERITED CYCLE LENGTH

Abdul-Majeed AL-IZERI, Khalid LATRACH

Universite Blaise Pascal(Clermont II) Laboratoire de Mathématiques, CNRS UMR 6620 Campus des Cézeaux-B. P. 80026, 63171 Aubière Cedex France

收稿日期:2015-05-13 修回日期:2015-09-02 出版日期:2016-10-25 发布日期:2016-10-25
通讯作者: Khalid LATRACH,Khalid.Latrach@math.univ-bpclermont.fr E-mail:Khalid.Latrach@math.univ-bpclermont.fr
作者简介:Abdul-Majeed AL-IZERI,Abdul-Majeed.Al-izeri@math.univ-bpclermont.fr

WELL-POSEDNESS OF A NONLINEAR MODEL OF PROLIFERATING CELL POPULATIONS WITH INHERITED CYCLE LENGTH

Abdul-Majeed AL-IZERI, Khalid LATRACH

Universite Blaise Pascal(Clermont II) Laboratoire de Mathématiques, CNRS UMR 6620 Campus des Cézeaux-B. P. 80026, 63171 Aubière Cedex France

Received:2015-05-13 Revised:2015-09-02 Online:2016-10-25 Published:2016-10-25
Contact: Khalid LATRACH,Khalid.Latrach@math.univ-bpclermont.fr E-mail:Khalid.Latrach@math.univ-bpclermont.fr

摘要/Abstract

摘要：

This paper deals with a nonlinear initial boundary values problem derived from a modified version of the so called Lebowitz and Rubinow's model[16] discussed in[8, 9] modeling a proliferating age structured cell population with inherited properties. We give existence and uniqueness results on appropriate weighted L^p-spaces with 1≤p<∞ in the case where the rate of cells mortality σ and the transition rate k are depending on the total density of population. General local and nonlocal reproduction rules are considered.

关键词: evolution equation, local and nonlocal boundary conditions, quasi-accretive operators, mild solutions, strong solutions, local and global solutions

Abstract:

Key words: evolution equation, local and nonlocal boundary conditions, quasi-accretive operators, mild solutions, strong solutions, local and global solutions

中图分类号:

47H06

Abdul-Majeed AL-IZERI, Khalid LATRACH. WELL-POSEDNESS OF A NONLINEAR MODEL OF PROLIFERATING CELL POPULATIONS WITH INHERITED CYCLE LENGTH[J]. 数学物理学报(英文版), 2016, 36(5): 1225-1244.

Abdul-Majeed AL-IZERI, Khalid LATRACH. WELL-POSEDNESS OF A NONLINEAR MODEL OF PROLIFERATING CELL POPULATIONS WITH INHERITED CYCLE LENGTH[J]. Acta mathematica scientia,Series B, 2016, 36(5): 1225-1244.

参考文献

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WELL-POSEDNESS OF A NONLINEAR MODEL OF PROLIFERATING CELL POPULATIONS WITH INHERITED CYCLE LENGTH

WELL-POSEDNESS OF A NONLINEAR MODEL OF PROLIFERATING CELL POPULATIONS WITH INHERITED CYCLE LENGTH

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