Anal. Theory Appl., 37 (2021), pp. 178-190.
Published online: 2021-04
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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].
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.pr80.01}, url = {http://global-sci.org/intro/article_detail/ata/18770.html} }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].