ROTHE'S METHOD FOR PHYSIOLOGICALLY STRUCTURED MODELS WITH DIFFUSION

被引：1

作者：

Bartlomiejczyk, Agnieszka ^{[1
]}

Leszcznski, Henryk ^{[2
]}

Marciniak, Agnieszka ^{[2
]}

机构：

[1] Gdansk Univ Technol, Fac Appl Phys & Math, Gabriela Narutowicza 11-12, Gdansk, Poland

[2] Univ Gdansk, Inst Math, Wita Stwosza 57, Gdansk, Poland

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 01期

关键词：

size-structured model; Feller boundary condition; diffusion; maximum principle; Rothe's method;

D O I：

10.1515/ms-2017-0094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider structured population models with diffusion and dynamic boundary conditions. The respective approximation, called Rothe's method, produces positive and exponentially bounded solutions. Its solutions converge to the exact solution of the original PDE. (C) 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：211 / 224

页数：14

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