Ukrainian Mathematical Journal

, Volume 42, Issue 10, pp 1205–1210 | Cite as

Dimension of a central manifold for semilinear parabolic equations

  • A. V. Romanov


Constructive conditions that enable us to reduce, in a known sense, a parabolic evolution equation in a Hilbert space to an ordinary differential equation (ODE) in Rk are suggested. More precisely, we are concerned with the construction of a k-dimensional (homeomorphic to Rk) invariant manifold H, attracting E, in the phase space E.


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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • A. V. Romanov
    • 1
  1. 1.Institute for the Geology of Ore Deposits, Petrography, Minerology, and GeochemistryAcademy of Sciences of USSRMoscow

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