Classical solutions to a moving boundary problem for an elliptic-parabolic system
This paper studies a mathematical model describing in vivo cancer growth for a single tumor. The model includes a reaction-diffusion equation associated to the nutrient concentration and an elliptic partial differential equation for the internal pressure. This model involves a moving boundary problem for a couple of elliptic and parabolic boundary value problems. The author proves the existence and uniqueness of classical solution for a class of initial data.
scientific article; zbMATH DE number 2103789