This article is cited in 1 paper

Families of stable manifolds for one-dimensional parabolic equations

D. A. Kamaev

Obninsk Institute for Nuclear Power Engineering

Abstract: 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.

UDC: 517

Received: 04.04.1991

DOI: 10.4213/mzm1799

 English version: Mathematical Notes, 1996, 60:1, 8–17

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