@article{ijpdea2020711,
author={{Li, Gang and Hu, Hui Min and Chen, Xi and Jiang, Fei Da},
title={Existence and Uniqueness of a Chemotaxis System Influenced by Cancer Cells},
journal={International Journal of Partial Differential Equations and Applications},
volume={7},
number={1},
pages={1--7},
year={2020},
url={http://pubs.sciepub.com/ijpdea/7/1/1},
issn={2376-9556},
abstract={We present a mathematical analysis of a reaction-diffusion model in a bounded open domain <img src=image/abs1.png></img> which describes vascular endothelial growth factor(VEGF), endothelial cells and oxygen. We use the parabolic theory to prove the existence of the solution in the function space <img src=image/abs2.png></img> under the homogeneous Neumann conditions. Then we get the existence of nonnegative solution in <img src=image/abs3.png></img> by using the global Schauder estimation.},
doi={10.12691/ijpdea-7-1-1}
publisher={Science and Education Publishing}
}