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.
Citation
Akisato Kubo. Takashi Suzuki. "Asymptotic behavior of the solution to a parabolic ODE system modeling tumour growth." Differential Integral Equations 17 (7-8) 721 - 736, 2004. https://doi.org/10.57262/die/1356060326
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