ON THE FRACTIONAL FISHER INFORMATION WITH APPLICATIONS TO A HYPERBOLIC-PARABOLIC SYSTEM OF CHEMOTAXIS

Rafael Granero-Belinchón (1)

1 EDPA - Équations aux dérivées partielles, analyse

We introduce new lower bounds for the fractional Fisher information. Equipped with these bounds we study a hyperbolic-parabolic model of chemotaxis and prove the global existence of solutions in certain dissipation regimes.

Domaines: Equations aux dérivées partielles [math.AP]

Rafael Granero-Belinchón. ON THE FRACTIONAL FISHER INFORMATION WITH APPLICATIONS TO A HYPERBOLIC-PARABOLIC SYSTEM OF CHEMOTAXIS. Journal of Differential Equations, 2017, 262 (4), pp.3250-3283. ⟨10.1016/j.jde.2016.11.028⟩. ⟨hal-01359673⟩