Differential and Integral Equations

Asymptotic behavior of the solution to a parabolic ODE system modeling tumour growth

Akisato Kubo and Takashi Suzuki

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We study a parabolic ODE system modeling tumour growth proposed by Othmer and Stevens [8]. In use of the transformation of Levine and Sleeman [6], we reduce it to a hyperbolic equation with strong dissipation. Then, we show the existence of collapse in arbitrary space dimension by the method of energy.

Article information

Source
Differential Integral Equations Volume 17, Number 7-8 (2004), 721-736.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060326

Mathematical Reviews number (MathSciNet)
MR2074683

Zentralblatt MATH identifier
1150.35059

Subjects
Primary: 35K50
Secondary: 35K55: Nonlinear parabolic equations 92C45: Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) [See also 80A30]

Citation

Kubo, Akisato; Suzuki, Takashi. Asymptotic behavior of the solution to a parabolic ODE system modeling tumour growth. Differential Integral Equations 17 (2004), no. 7-8, 721--736. https://projecteuclid.org/euclid.die/1356060326.


Export citation