Year: 2021
Author: Yong-Jung Kim, Marshall Slemrod
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 2 : pp. 178–190
Abstract
This paper studies existence of mild solution to a sharp cut off model for contact driven tumor growth. Analysis is based on application of the Crandall-Liggett theorem for $\omega$-quasi-contractive semigroups on the Banach space $L^1(\Omega)$. Furthermore, numerical computations are provided which compare the sharp cut off model with the tumor growth model of Perthame, Quirόs, and Vázquez [13].
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2021.pr80.01
Analysis in Theory and Applications, Vol. 37 (2021), Iss. 2 : pp. 178–190
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Nonlinear semigroups tumor growth models Hele-Shaw diffusion.