Special Session 56: 

Boundedness in the Keller-Segel system with signal-dependent sensitivity

Tomomi Yokota
Tokyo University of Science
Japan
Co-Author(s):    Masaaki Mizukami
Abstract:
In this talk we prove boundedness of classical solutions to the fully parabolic Keller-Segel system with signal-dependent sensitivity under the smallness condition for the coefficient of the sensitivity function. The proof is based on the construction of the ordinary differential inequality for the integral of the $p$-th power of the first solution component multiplied by a function depending on the second solution component.