On the well-posedness of some model arising in the mathematical biology

被引：0

作者：

Efendiev, Messoud ^{[1
,2
]}

Vougalter, Vitali ^{[3
]}

机构：

[1] Helmholtz Zent Munchen, Inst Computat Biol, Neuherberg, Germany

[2] Marmara Univ, Dept Math, Istanbul, Turkiye

[3] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年

基金：

加拿大自然科学与工程研究理事会;

关键词：

integro-differential equations; Sobolev spaces; well-posedness; ANOMALOUS DIFFUSION; TRAVELING-WAVES;

D O I：

10.1002/mma.10507

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, we establish the global well-posedness in W-1,W-2,W-2(R x R+) of the integro-differential equation in the case of anomalous diffusion when the one-dimensional negative Laplace operator is raised to a fractional power in the presence of the transport term. The model is relevant to the cell population dynamics in the mathematical biology. Our proof relies on a fixed point technique.

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页数：12

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