Geodesic
Local center manifold for parabolic equations with infinite delay
Mathematica Bohemica, Tome 119 (1994) no. 3, pp. 285-304.

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The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions. The result is applied to the stability problem for a parabolic integrodifferential equation.
DOI : 10.21136/MB.1994.126163
Classification : 34K15, 34K20, 34K30, 35B35, 35R10, 45K05, 45N05, 47N20
Keywords: parabolic integrodifferential equations; invariant manifolds; functional equations; analytic semigroup; Banach space; resolvent operator; interpolation spaces; center manifold; parabolic functional equation; infinite delay; solution semigroup 
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     title = {Local center manifold for parabolic equations with infinite delay},
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Petzeltová, Hana. Local center manifold for parabolic equations with infinite delay. Mathematica Bohemica, Tome 119 (1994) no. 3, pp. 285-304. doi : 10.21136/MB.1994.126163. http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126163/

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