Dimension of a central manifold for semilinear parabolic equations
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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