Differential and Integral Equations

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

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