Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory

被引：4

作者：

Anderson, Jeffrey R. ^{[1
]}

Deng, Keng ^{[2
]}

Wang, Qian ^{[2
]}

机构：

[1] Indiana Univ Purdue Univ, Dept Math Sci, Ft Wayne, IN 46805 USA

[2] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 15期

关键词：

fast diffusion equation; global existence; blow up in finite time; memory boundary condition; BLOW-UP; NONLINEAR MEMORY; PARABOLIC EQUATIONS; HEAT-EQUATION; EXISTENCE; ABSORPTION;

D O I：

10.1002/mma.3874

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study global existence and blowup in finite time for a one-dimensional fast diffusion equation with memory boundary condition. The problem arises out of a corresponding model formulated from tumor-induced angiogenesis. We obtain necessary and sufficient conditions for global existence of solutions to the problem. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：4451 / 4462

页数：12

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