Existence of weak solutions to an anisotropic parabolic-parabolic chemotaxis system

This work is devoted to the study of the sub-critical case of an anisotropic fully parabolic Keller-Segel chemotaxis system. We prove the existence of nonnegative weak solutions of (1.1) without restriction on the size of the initial data.

Automated summary

This work focuses on the study of the sub-critical case of an anisotropic fully parabolic Keller-Segel chemotaxis system. We prove the existence of nonnegative weak solutions of (1.1) without any restriction on the size of the initial data.