Geodesic
Families of stable manifolds for one-dimensional parabolic equations
Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 11-23.

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We prove that to any invariant subset of the dynamical system generated by a one-dimensional quasilinear parabolic equation there corresponds an invariant family of stable manifolds of finite codimension. 
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D. A. Kamaev. Families of stable manifolds for one-dimensional parabolic equations. Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 11-23. http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a1/

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