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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 186, Pages 57–66
DOI: https://doi.org/10.36535/0233-6723-2020-186-57-66 (Mi into713) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Inertial invariant manifolds of a nonlinear semigroup of operators in a Hilbert space

A. N. Kulikov

P.G. Demidov Yaroslavl State University
Full-text PDF (216 kB) Citations (6)
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DOI: https://doi.org/10.36535/0233-6723-2020-186-57-66
Abstract: In this paper, we examine the existence and analyze properties of inertial manifolds of a nonlinear semigroup of operators in a Hilbert space. This questions were studied in a general setting that allows generalizing results of the well-known works of K. Foias, J. Sell, and R. Temam. Our reasoning is based on the scheme of proofs of similar assertions proposed earlier by S. Sternberg and F. Hartman for ordinary autonomous differential equations.
Keywords: inertial invariant manifold, Hilbert space, operator.
Document Type: Article
UDC: 517.929
MSC: 37L25, 37L05
Language: Russian
Citation: A. N. Kulikov, “Inertial invariant manifolds of a nonlinear semigroup of operators in a Hilbert space”, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 186, VINITI, Moscow, 2020, 57–66
Citation in format AMSBIB
\Bibitem{Kul20}
\by A.~N.~Kulikov
\paper Inertial invariant manifolds of a nonlinear semigroup of operators in a Hilbert space
\inbook Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 186
\pages 57--66
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into713}
\crossref{https://doi.org/10.36535/0233-6723-2020-186-57-66}
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    • This publication is cited in the following 6 articles:
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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