3 papers
math.AP2026
Global existence and boundedness for a degenerate chemotaxis system with indirect signal production via minimizing movement schemes
Tatsuya Hosono, Philippe Lauren{\cc}ot
Global existence and boundedness of weak solutions for a fully parabolic degenerate chemotaxis system with indirect signal production are proved for any initial data in the subcrit…
math.AP2026
Global existence for the fully parabolic Keller--Segel system with critical mass on the plane
Tatsuya Hosono
We study the global existence of solutions to the Cauchy problem for the two-dimensional fully parabolic Keller--Segel system at the critical mass. It is known that global-in-time…
math.AP2025
Nonlinear Fisher information, corresponding functional inequalities and applications
Tomasz CieÅlak, Kentaro Fujie, Tatsuya Hosono
We study the evolution of the nonlinear version of the Fisher information along the quasilinear heat equation. We also provide a nonlinear version of a recent functional inequality…