Title: Global existence and convergence of $Q$-curvature flow on manifolds of even dimension,
Abstract: Using a negative gradient flow approach, we generalize and unify some
existence theorems for the problem of prescribing $Q$-curvature first by Baird,
Fardoun, and Regbaoui (Calc. Var. 27 75-104) for $4$-manifolds with a possible
sign-changing curvature candidate then by Brendle (Ann. Math. 158 323-343) for
$n$-manifolds with even $n$ with positive curvature candidate to the case of
$n$-manifolds of all even dimension with sign-changing curvature candidates.
Making use of the \L ojasiewicz--Simon inequality, we also address the rate of
the convergence.