Article
MSC:
34K15,
34K20,
34K30,
35B35,
35R10,
45K05,
45N05,
47N20 | MR 1305531 | Zbl 0818.45005 | DOI: 10.21136/MB.1994.126163
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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
parabolic integrodifferential equations; invariant manifolds; functional equations; analytic semigroup; Banach space; resolvent operator; interpolation spaces; center manifold; parabolic functional equation; infinite delay; solution semigroup
Summary:
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.
References:
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