Local center manifold for parabolic equations with infinite delay

Hana Petzeltová

Mathematica Bohemica (1994)

  • Volume: 119, Issue: 3, page 285-304
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Petzeltová, Hana. "Local center manifold for parabolic equations with infinite delay." Mathematica Bohemica 119.3 (1994): 285-304. <http://eudml.org/doc/29317>.

@article{Petzeltová1994,
abstract = {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.},
author = {Petzeltová, Hana},
journal = {Mathematica Bohemica},
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},
language = {eng},
number = {3},
pages = {285-304},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Local center manifold for parabolic equations with infinite delay},
url = {http://eudml.org/doc/29317},
volume = {119},
year = {1994},
}

TY - JOUR
AU - Petzeltová, Hana
TI - Local center manifold for parabolic equations with infinite delay
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 3
SP - 285
EP - 304
AB - 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.
LA - eng
KW - 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
UR - http://eudml.org/doc/29317
ER -

References

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  10. H. Petzeltová J. Milotа, 10.1080/01630568708816261, Numer. Funct. Anal. and Optimiz. 9 (1987), 779-807. (1987) DOI10.1080/01630568708816261
  11. G. Simonett, Zentrumsmannigfaltigkeiten für quasilineare parabolische Gleichungen, Thesis. 
  12. E. Sinestrаri, On the abstract Cauchy problem of parabolic type in the spaces of continuous functions, Ј. Math. And Appl. 107(1985), 16-66. (1985) 
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