Lack of uniqueness in transport equations with a nonlocal nonlinearity

被引：17

作者：

Diekmann, O

Gyllenberg, M

Thieme, HR

机构：

[1] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands

[2] Univ Turku, Dept Math, Turku 20014, Finland

[3] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2000年 / 10卷 / 04期

关键词：

D O I：

10.1142/S0218202500000318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By way of examples we show that the initial value problem for transport equations, with coefficients that involve a nonlocal (in space) functional of the solution, may have multiple solutions. We try to expose the essential features of the examples, thus motivating certain assumptions in the theory of physiologically structured population models.

引用

页码：581 / 591

页数：11

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