We consider the degenerate Keller-Segel system (KS)m below. We find the functional space LS (0, T; Lp(ℝ)N)) with some p,s for the uniqueness and continuity of weak solutions with respect to the initial data. Our space is discussed from a viewpoint of the scaling invariant class associated with (KS)m for γ = 0. The technique is based on the L1-contraction principle for the porous medium equation.
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)