A general approach to stability in free boundary problems.

By C. Brauner, J. Hulshof, A. Lunardi. 2000

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Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions (2006, background): “General boundary conditions were studied for a single equation of second order in [9], [22], [28, Chap.”
On quasilinear parabolic evolution equations in weighted Lp-spaces II (2009, unknown): “Concerning the long-time behaviour of solutions, we refer e.g. to [ 7 , 17, 18, 19, 22, 24].”
On quasilinear parabolic evolution equations in weighted Lp-spaces (2009, background): “r BUCµ([0,T];X) := {u ∈ C((0,T];X) : t1−µu ∈ BUC((0,T];X), lim t→0+ t1−µ|u(t)| X = 0}, µ ∈ (0,1]. as a basic space, instead of (1.2). Concerning the long-time behaviour of solutions, we refer e.g. to [7, 17, 18, 19, 22, 24]. It is one aim of this paper to extend the local convergenceresult [22, Theo”