@Article{ATA-37-178,
author = {Kim , Yong-Jung and Slemrod , Marshall},
title = {Diffusion with a Discontinuous Potential: A Non-Linear Semigroup Approach},
journal = {Analysis in Theory and Applications},
year = {2021},
volume = {37},
number = {2},
pages = {178--190},
abstract = {<p style="text-align: justify;">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&nbsp; Perthame, Quirόs, and Vázquez [13].</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2021.pr80.01},
url = {http://global-sci.org/intro/article_detail/ata/18770.html}
}