Special Session 65: Nonlinear Evolution Equations and Related Topics

Existence of bounded classical solutions to a chemotaxis system modeling tumor angiogenesis

Yutaro Chiyo
Tokyo University of Science
Japan
Co-Author(s):    Masaaki Mizukami
Abstract:
This talk deals with a chemotaxis system for tumor angiogenesis. In a simplified system with constant sensitivity, global existence and boundedness were proved by Tao and Winkler (Nonlinear Analysis; 2021;112324;16 pp). However, a non-simplified system with signal-dependent sensitivities seems not to have been studied yet. The purpose of this talk is to establish global existence and boundedness in a fully parabolic chemotaxis system for tumor angiogenesis with sensitivity functions.