EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR CANCER INVASION PARABOLIC SYSTEM WITH NONLINEAR DIFFUSION

摘要

This paper deals with the existence and uniqueness of global weak solution of the cancer invasion parabolic system with nonlinear diffusion operator. Further, considered model describes the interactions of host tissues and two types of metastatic cancer cells in the acidification environment. The Faedo-Galerkin approximation method and the Gronwall lemma respectively have used to prove the existence and uniqueness of global weak solutions of the consisted cancer invasion system.