Integral manifolds for semilinear evolution equations and admissibility of function spaces

We prove the existence of integral (stable, unstable, and center) manifolds for the solutions to a semilinear integral equation in the case where the evolution family (U(t, s)) t≥s has an exponential trichotomy on a half line or on the whole line, and the nonlinear forcing term f satisfies the φ-Li...

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Datum:2012
Hauptverfasser: Vu Thi Ngoc Ha, Nguyen Thieu Huy, Ha Phi
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2012
Schriftenreihe:Український математичний журнал
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Integral manifolds for semilinear evolution equations and admissibility of function spaces / Vu Thi Ngoc Ha, Nguyen Thieu Huy, Ha Phi // Український математичний журнал. — 2012. — Т. 64, № 6. — С. 772-796. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine