Well-posedness of a nonlinear evolution equation arising in growing cell population

被引：7

作者：

Garcia-Falset, Jesus ^{[1
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, Fac Matemat, E-46100 Valencia, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 13期

关键词：

accretive operators; cell population dynamics; mild solutions; integral solutions; MODEL;

D O I：

10.1002/mma.1473

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a nonlinear evolution equation which comes from a model of an age-structured cell population endowed with general reproduction laws is well-posed. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：1658 / 1666

页数：9

共 16 条

[1]

Barbu V, 2010, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-1-4419-5542-5

[2]

BENILAN PH., 1972, These de doctorat d'Etat

[3] A Rotenberg's model with maturation velocity nil [J].

Boulanouar, M .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (04) :443-446

[4] A Model of Proliferating Cell Populations with Infinite Cell Cycle Length: Semigroup Existence [J].

Boulanouar, M. .

ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :949-971

[5] A mathematical study in the theory of dynamic population [J].

Boulanouar, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (01) :230-259

[6] NONLINEAR MAPPINGS OF NONEXPANSIVE AND ACCRETIVE TYPE IN BANACH SPACES [J].

BROWDER, FE .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) :875-&

[7] INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS [J].

Garcia-Falset, Jesus ;

Reich, Simeon .

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2010, 12 (06) :1031-1054

[8] Existence of fixed points for the sum of two operators [J].

Garcia-Falset, Jesus .

MATHEMATISCHE NACHRICHTEN, 2010, 283 (12) :1736-1757

[9]

GURTIN ME, 1983, ARCH RATIONAL MECH A, V82, P13

[10] A nonlinear problem arising in the theory of growing cell populations [J].

Jeribi, A .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2002, 3 (01) :85-105

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